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Finding the Fourth Proportional to 137,149.60, 205,724.40 and 48,402.40

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Solution

The fourth proportional to 137,149.60, 205,724.40 and 48,402.40 is: 72,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.60 : 205,724.40 = 48,402.40 : x
  2. Step 2: Convert to fraction form
    137,149.60/205,724.40 = 48,402.40/x
  3. Step 3: Cross multiply
    137,149.60x = 205,724.40 × 48,402.40
  4. Step 4: Simplify right side
    137,149.60x = 9,957,554,698.56
  5. Step 5: Solve for x
    x = 9,957,554,698.56/137,149.60
  6. Step 6: Final answer
    x = 72,603.60

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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.