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Finding the Fourth Proportional to 156,901.78, 235,469.31 and 86,917.78

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Solution

The fourth proportional to 156,901.78, 235,469.31 and 86,917.78 is: 130,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,901.78 : 235,469.31 = 86,917.78 : x
  2. Step 2: Convert to fraction form
    156,901.78/235,469.31 = 86,917.78/x
  3. Step 3: Cross multiply
    156,901.78x = 235,469.31 × 86,917.78
  4. Step 4: Simplify right side
    156,901.78x = 20,466,469,683.33
  5. Step 5: Solve for x
    x = 20,466,469,683.33/156,901.78
  6. Step 6: Final answer
    x = 130,441.28

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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.