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Finding the Fourth Proportional to 137,951.23, 206,943.05 and 49,217.35

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Solution

The fourth proportional to 137,951.23, 206,943.05 and 49,217.35 is: 73,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.23 : 206,943.05 = 49,217.35 : x
  2. Step 2: Convert to fraction form
    137,951.23/206,943.05 = 49,217.35/x
  3. Step 3: Cross multiply
    137,951.23x = 206,943.05 × 49,217.35
  4. Step 4: Simplify right side
    137,951.23x = 10,185,187,758.47
  5. Step 5: Solve for x
    x = 10,185,187,758.47/137,951.23
  6. Step 6: Final answer
    x = 73,831.80

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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.