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Finding the Fourth Proportional to 102,050,143.20, 153,075,214.80 and 102,050,143.20

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Solution

The fourth proportional to 102,050,143.20, 153,075,214.80 and 102,050,143.20 is: 153,075,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050,143.20 : 153,075,214.80 = 102,050,143.20 : x
  2. Step 2: Convert to fraction form
    102,050,143.20/153,075,214.80 = 102,050,143.20/x
  3. Step 3: Cross multiply
    102,050,143.20x = 153,075,214.80 × 102,050,143.20
  4. Step 4: Simplify right side
    102,050,143.20x = 15,621,347,590,710,762
  5. Step 5: Solve for x
    x = 15,621,347,590,710,762/102,050,143.20
  6. Step 6: Final answer
    x = 153,075,214.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.