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Finding the Fourth Proportional to 402,901.29, 604,251.43 and 118,535.22

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Solution

The fourth proportional to 402,901.29, 604,251.43 and 118,535.22 is: 177,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,901.29 : 604,251.43 = 118,535.22 : x
  2. Step 2: Convert to fraction form
    402,901.29/604,251.43 = 118,535.22/x
  3. Step 3: Cross multiply
    402,901.29x = 604,251.43 × 118,535.22
  4. Step 4: Simplify right side
    402,901.29x = 71,625,077,700.99
  5. Step 5: Solve for x
    x = 71,625,077,700.99/402,901.29
  6. Step 6: Final answer
    x = 177,773.26

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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.