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Finding the Fourth Proportional to 137,217.20, 205,825.80 and 48,570.80

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Solution

The fourth proportional to 137,217.20, 205,825.80 and 48,570.80 is: 72,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,217.20 : 205,825.80 = 48,570.80 : x
  2. Step 2: Convert to fraction form
    137,217.20/205,825.80 = 48,570.80/x
  3. Step 3: Cross multiply
    137,217.20x = 205,825.80 × 48,570.80
  4. Step 4: Simplify right side
    137,217.20x = 9,997,123,766.64
  5. Step 5: Solve for x
    x = 9,997,123,766.64/137,217.20
  6. Step 6: Final answer
    x = 72,856.20

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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.