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Finding the Fourth Proportional to 226,716.80, 340,075.20 and 102,300.80

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Solution

The fourth proportional to 226,716.80, 340,075.20 and 102,300.80 is: 153,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,716.80 : 340,075.20 = 102,300.80 : x
  2. Step 2: Convert to fraction form
    226,716.80/340,075.20 = 102,300.80/x
  3. Step 3: Cross multiply
    226,716.80x = 340,075.20 × 102,300.80
  4. Step 4: Simplify right side
    226,716.80x = 34,789,965,020.16
  5. Step 5: Solve for x
    x = 34,789,965,020.16/226,716.80
  6. Step 6: Final answer
    x = 153,451.20

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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.