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Finding the Fourth Proportional to 137,511.48, 206,237.46 and 48,767.88

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Solution

The fourth proportional to 137,511.48, 206,237.46 and 48,767.88 is: 73,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,511.48 : 206,237.46 = 48,767.88 : x
  2. Step 2: Convert to fraction form
    137,511.48/206,237.46 = 48,767.88/x
  3. Step 3: Cross multiply
    137,511.48x = 206,237.46 × 48,767.88
  4. Step 4: Simplify right side
    137,511.48x = 10,057,763,700.78
  5. Step 5: Solve for x
    x = 10,057,763,700.78/137,511.48
  6. Step 6: Final answer
    x = 73,141.27

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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.