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Finding the Fourth Proportional to 137,585.05, 206,398.09 and 48,831.13

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Solution

The fourth proportional to 137,585.05, 206,398.09 and 48,831.13 is: 73,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,585.05 : 206,398.09 = 48,831.13 : x
  2. Step 2: Convert to fraction form
    137,585.05/206,398.09 = 48,831.13/x
  3. Step 3: Cross multiply
    137,585.05x = 206,398.09 × 48,831.13
  4. Step 4: Simplify right side
    137,585.05x = 10,078,650,847.91
  5. Step 5: Solve for x
    x = 10,078,650,847.91/137,585.05
  6. Step 6: Final answer
    x = 73,253.97

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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.