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Finding the Fourth Proportional to 256,593.92, 384,911.40 and 88,046.42

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Solution

The fourth proportional to 256,593.92, 384,911.40 and 88,046.42 is: 132,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,593.92 : 384,911.40 = 88,046.42 : x
  2. Step 2: Convert to fraction form
    256,593.92/384,911.40 = 88,046.42/x
  3. Step 3: Cross multiply
    256,593.92x = 384,911.40 × 88,046.42
  4. Step 4: Simplify right side
    256,593.92x = 33,890,070,787.19
  5. Step 5: Solve for x
    x = 33,890,070,787.19/256,593.92
  6. Step 6: Final answer
    x = 132,076.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.