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Finding the Fourth Proportional to 137,716.92, 206,507.16 and 48,957.12

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Solution

The fourth proportional to 137,716.92, 206,507.16 and 48,957.12 is: 73,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.92 : 206,507.16 = 48,957.12 : x
  2. Step 2: Convert to fraction form
    137,716.92/206,507.16 = 48,957.12/x
  3. Step 3: Cross multiply
    137,716.92x = 206,507.16 × 48,957.12
  4. Step 4: Simplify right side
    137,716.92x = 10,109,995,812.98
  5. Step 5: Solve for x
    x = 10,109,995,812.98/137,716.92
  6. Step 6: Final answer
    x = 73,411.43

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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.