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Finding the Fourth Proportional to 261,314.64, 391,974.12 and 83,821.92

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Solution

The fourth proportional to 261,314.64, 391,974.12 and 83,821.92 is: 125,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,314.64 : 391,974.12 = 83,821.92 : x
  2. Step 2: Convert to fraction form
    261,314.64/391,974.12 = 83,821.92/x
  3. Step 3: Cross multiply
    261,314.64x = 391,974.12 × 83,821.92
  4. Step 4: Simplify right side
    261,314.64x = 32,856,023,328.71
  5. Step 5: Solve for x
    x = 32,856,023,328.71/261,314.64
  6. Step 6: Final answer
    x = 125,733.57

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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.