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Finding the Fourth Proportional to 138,076.92, 206,941.62 and 59,097.72

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Solution

The fourth proportional to 138,076.92, 206,941.62 and 59,097.72 is: 88,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,076.92 : 206,941.62 = 59,097.72 : x
  2. Step 2: Convert to fraction form
    138,076.92/206,941.62 = 59,097.72/x
  3. Step 3: Cross multiply
    138,076.92x = 206,941.62 × 59,097.72
  4. Step 4: Simplify right side
    138,076.92x = 12,229,777,915.11
  5. Step 5: Solve for x
    x = 12,229,777,915.11/138,076.92
  6. Step 6: Final answer
    x = 88,572.21

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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.