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Finding the Fourth Proportional to 157,185.92, 217,025.20 and 147,147.60

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Solution

The fourth proportional to 157,185.92, 217,025.20 and 147,147.60 is: 203,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185.92 : 217,025.20 = 147,147.60 : x
  2. Step 2: Convert to fraction form
    157,185.92/217,025.20 = 147,147.60/x
  3. Step 3: Cross multiply
    157,185.92x = 217,025.20 × 147,147.60
  4. Step 4: Simplify right side
    157,185.92x = 31,934,737,319.52
  5. Step 5: Solve for x
    x = 31,934,737,319.52/157,185.92
  6. Step 6: Final answer
    x = 203,165.38

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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.