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Finding the Fourth Proportional to 256,905.60, 385,358.40 and 99,139.20

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Solution

The fourth proportional to 256,905.60, 385,358.40 and 99,139.20 is: 148,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.60 : 385,358.40 = 99,139.20 : x
  2. Step 2: Convert to fraction form
    256,905.60/385,358.40 = 99,139.20/x
  3. Step 3: Cross multiply
    256,905.60x = 385,358.40 × 99,139.20
  4. Step 4: Simplify right side
    256,905.60x = 38,204,123,489.28
  5. Step 5: Solve for x
    x = 38,204,123,489.28/256,905.60
  6. Step 6: Final answer
    x = 148,708.80

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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.