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Finding the Fourth Proportional to 261,233.60, 391,905.81 and 83,865.20

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Solution

The fourth proportional to 261,233.60, 391,905.81 and 83,865.20 is: 125,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,233.60 : 391,905.81 = 83,865.20 : x
  2. Step 2: Convert to fraction form
    261,233.60/391,905.81 = 83,865.20/x
  3. Step 3: Cross multiply
    261,233.60x = 391,905.81 × 83,865.20
  4. Step 4: Simplify right side
    261,233.60x = 32,867,257,177.28
  5. Step 5: Solve for x
    x = 32,867,257,177.28/261,233.60
  6. Step 6: Final answer
    x = 125,815.58

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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.