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Finding the Fourth Proportional to 137,821.20, 206,731.80 and 49,174.80

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Solution

The fourth proportional to 137,821.20, 206,731.80 and 49,174.80 is: 73,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,821.20 : 206,731.80 = 49,174.80 : x
  2. Step 2: Convert to fraction form
    137,821.20/206,731.80 = 49,174.80/x
  3. Step 3: Cross multiply
    137,821.20x = 206,731.80 × 49,174.80
  4. Step 4: Simplify right side
    137,821.20x = 10,165,994,918.64
  5. Step 5: Solve for x
    x = 10,165,994,918.64/137,821.20
  6. Step 6: Final answer
    x = 73,762.20

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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.