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Finding the Fourth Proportional to 113,740.78, 156,962.22 and 63,439.78

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Solution

The fourth proportional to 113,740.78, 156,962.22 and 63,439.78 is: 87,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,740.78 : 156,962.22 = 63,439.78 : x
  2. Step 2: Convert to fraction form
    113,740.78/156,962.22 = 63,439.78/x
  3. Step 3: Cross multiply
    113,740.78x = 156,962.22 × 63,439.78
  4. Step 4: Simplify right side
    113,740.78x = 9,957,648,705.11
  5. Step 5: Solve for x
    x = 9,957,648,705.11/113,740.78
  6. Step 6: Final answer
    x = 87,546.86

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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.