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Finding the Fourth Proportional to 159,787.70, 239,663.84 and 57,200.94

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Solution

The fourth proportional to 159,787.70, 239,663.84 and 57,200.94 is: 85,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,787.70 : 239,663.84 = 57,200.94 : x
  2. Step 2: Convert to fraction form
    159,787.70/239,663.84 = 57,200.94/x
  3. Step 3: Cross multiply
    159,787.70x = 239,663.84 × 57,200.94
  4. Step 4: Simplify right side
    159,787.70x = 13,708,996,932.01
  5. Step 5: Solve for x
    x = 13,708,996,932.01/159,787.70
  6. Step 6: Final answer
    x = 85,795.07

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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.