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Finding the Fourth Proportional to 261,172.68, 391,748.05 and 83,675.76

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Solution

The fourth proportional to 261,172.68, 391,748.05 and 83,675.76 is: 125,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,172.68 : 391,748.05 = 83,675.76 : x
  2. Step 2: Convert to fraction form
    261,172.68/391,748.05 = 83,675.76/x
  3. Step 3: Cross multiply
    261,172.68x = 391,748.05 × 83,675.76
  4. Step 4: Simplify right side
    261,172.68x = 32,779,815,812.27
  5. Step 5: Solve for x
    x = 32,779,815,812.27/261,172.68
  6. Step 6: Final answer
    x = 125,510.13

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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.