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Finding the Fourth Proportional to 261,203.70, 391,806 and 71,666.68

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Solution

The fourth proportional to 261,203.70, 391,806 and 71,666.68 is: 107,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,203.70 : 391,806 = 71,666.68 : x
  2. Step 2: Convert to fraction form
    261,203.70/391,806 = 71,666.68/x
  3. Step 3: Cross multiply
    261,203.70x = 391,806 × 71,666.68
  4. Step 4: Simplify right side
    261,203.70x = 28,079,435,224.08
  5. Step 5: Solve for x
    x = 28,079,435,224.08/261,203.70
  6. Step 6: Final answer
    x = 107,500.14

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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.