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Finding the Fourth Proportional to 156,972.38, 216,624.32 and 85,352.58

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Solution

The fourth proportional to 156,972.38, 216,624.32 and 85,352.58 is: 117,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972.38 : 216,624.32 = 85,352.58 : x
  2. Step 2: Convert to fraction form
    156,972.38/216,624.32 = 85,352.58/x
  3. Step 3: Cross multiply
    156,972.38x = 216,624.32 × 85,352.58
  4. Step 4: Simplify right side
    156,972.38x = 18,489,444,175.98
  5. Step 5: Solve for x
    x = 18,489,444,175.98/156,972.38
  6. Step 6: Final answer
    x = 117,787.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.