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Finding the Fourth Proportional to 104,212.80, 156,319.20 and 34,075.20

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Solution

The fourth proportional to 104,212.80, 156,319.20 and 34,075.20 is: 51,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,212.80 : 156,319.20 = 34,075.20 : x
  2. Step 2: Convert to fraction form
    104,212.80/156,319.20 = 34,075.20/x
  3. Step 3: Cross multiply
    104,212.80x = 156,319.20 × 34,075.20
  4. Step 4: Simplify right side
    104,212.80x = 5,326,608,003.84
  5. Step 5: Solve for x
    x = 5,326,608,003.84/104,212.80
  6. Step 6: Final answer
    x = 51,112.80

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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.