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Finding the Fourth Proportional to 137,503.48, 206,225.52 and 48,759.88

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Solution

The fourth proportional to 137,503.48, 206,225.52 and 48,759.88 is: 73,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,503.48 : 206,225.52 = 48,759.88 : x
  2. Step 2: Convert to fraction form
    137,503.48/206,225.52 = 48,759.88/x
  3. Step 3: Cross multiply
    137,503.48x = 206,225.52 × 48,759.88
  4. Step 4: Simplify right side
    137,503.48x = 10,055,531,608.14
  5. Step 5: Solve for x
    x = 10,055,531,608.14/137,503.48
  6. Step 6: Final answer
    x = 73,129.29

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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.