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Finding the Fourth Proportional to 147,002.60, 220,503.90 and 41,807.90

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Solution

The fourth proportional to 147,002.60, 220,503.90 and 41,807.90 is: 62,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,002.60 : 220,503.90 = 41,807.90 : x
  2. Step 2: Convert to fraction form
    147,002.60/220,503.90 = 41,807.90/x
  3. Step 3: Cross multiply
    147,002.60x = 220,503.90 × 41,807.90
  4. Step 4: Simplify right side
    147,002.60x = 9,218,805,000.81
  5. Step 5: Solve for x
    x = 9,218,805,000.81/147,002.60
  6. Step 6: Final answer
    x = 62,711.85

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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.