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Finding the Fourth Proportional to 261,171.92, 391,746.93 and 83,675

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Solution

The fourth proportional to 261,171.92, 391,746.93 and 83,675 is: 125,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,171.92 : 391,746.93 = 83,675 : x
  2. Step 2: Convert to fraction form
    261,171.92/391,746.93 = 83,675/x
  3. Step 3: Cross multiply
    261,171.92x = 391,746.93 × 83,675
  4. Step 4: Simplify right side
    261,171.92x = 32,779,424,367.75
  5. Step 5: Solve for x
    x = 32,779,424,367.75/261,171.92
  6. Step 6: Final answer
    x = 125,508.99

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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.