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Finding the Fourth Proportional to 137,395.92, 206,103.90 and 42,614.07

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Solution

The fourth proportional to 137,395.92, 206,103.90 and 42,614.07 is: 63,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,395.92 : 206,103.90 = 42,614.07 : x
  2. Step 2: Convert to fraction form
    137,395.92/206,103.90 = 42,614.07/x
  3. Step 3: Cross multiply
    137,395.92x = 206,103.90 × 42,614.07
  4. Step 4: Simplify right side
    137,395.92x = 8,782,926,021.87
  5. Step 5: Solve for x
    x = 8,782,926,021.87/137,395.92
  6. Step 6: Final answer
    x = 63,924.21

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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.