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Finding the Fourth Proportional to 137,792.98, 206,689.39 and 43,031.28

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Solution

The fourth proportional to 137,792.98, 206,689.39 and 43,031.28 is: 64,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.98 : 206,689.39 = 43,031.28 : x
  2. Step 2: Convert to fraction form
    137,792.98/206,689.39 = 43,031.28/x
  3. Step 3: Cross multiply
    137,792.98x = 206,689.39 × 43,031.28
  4. Step 4: Simplify right side
    137,792.98x = 8,894,109,923.68
  5. Step 5: Solve for x
    x = 8,894,109,923.68/137,792.98
  6. Step 6: Final answer
    x = 64,546.90

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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.