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Finding the Fourth Proportional to 156,505.72, 234,787.76 and 51,354.76

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Solution

The fourth proportional to 156,505.72, 234,787.76 and 51,354.76 is: 77,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,505.72 : 234,787.76 = 51,354.76 : x
  2. Step 2: Convert to fraction form
    156,505.72/234,787.76 = 51,354.76/x
  3. Step 3: Cross multiply
    156,505.72x = 234,787.76 × 51,354.76
  4. Step 4: Simplify right side
    156,505.72x = 12,057,469,065.74
  5. Step 5: Solve for x
    x = 12,057,469,065.74/156,505.72
  6. Step 6: Final answer
    x = 77,041.71

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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.