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Finding the Fourth Proportional to 261,012.83, 391,493.93 and 83,472.17

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Solution

The fourth proportional to 261,012.83, 391,493.93 and 83,472.17 is: 125,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,012.83 : 391,493.93 = 83,472.17 : x
  2. Step 2: Convert to fraction form
    261,012.83/391,493.93 = 83,472.17/x
  3. Step 3: Cross multiply
    261,012.83x = 391,493.93 × 83,472.17
  4. Step 4: Simplify right side
    261,012.83x = 32,678,845,504.10
  5. Step 5: Solve for x
    x = 32,678,845,504.10/261,012.83
  6. Step 6: Final answer
    x = 125,200.15

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