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Finding the Fourth Proportional to 137,234.60, 205,851.90 and 48,588.20

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Solution

The fourth proportional to 137,234.60, 205,851.90 and 48,588.20 is: 72,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.60 : 205,851.90 = 48,588.20 : x
  2. Step 2: Convert to fraction form
    137,234.60/205,851.90 = 48,588.20/x
  3. Step 3: Cross multiply
    137,234.60x = 205,851.90 × 48,588.20
  4. Step 4: Simplify right side
    137,234.60x = 10,001,973,287.58
  5. Step 5: Solve for x
    x = 10,001,973,287.58/137,234.60
  6. Step 6: Final answer
    x = 72,882.30

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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.