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Finding the Fourth Proportional to 156,142.40, 234,345.12 and 67,463.12

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Solution

The fourth proportional to 156,142.40, 234,345.12 and 67,463.12 is: 101,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142.40 : 234,345.12 = 67,463.12 : x
  2. Step 2: Convert to fraction form
    156,142.40/234,345.12 = 67,463.12/x
  3. Step 3: Cross multiply
    156,142.40x = 234,345.12 × 67,463.12
  4. Step 4: Simplify right side
    156,142.40x = 15,809,652,951.97
  5. Step 5: Solve for x
    x = 15,809,652,951.97/156,142.40
  6. Step 6: Final answer
    x = 101,251.50

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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.