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Finding the Fourth Proportional to 145,847.60, 218,857.80 and 106,305.20

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Solution

The fourth proportional to 145,847.60, 218,857.80 and 106,305.20 is: 159,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,847.60 : 218,857.80 = 106,305.20 : x
  2. Step 2: Convert to fraction form
    145,847.60/218,857.80 = 106,305.20/x
  3. Step 3: Cross multiply
    145,847.60x = 218,857.80 × 106,305.20
  4. Step 4: Simplify right side
    145,847.60x = 23,265,722,200.56
  5. Step 5: Solve for x
    x = 23,265,722,200.56/145,847.60
  6. Step 6: Final answer
    x = 159,520.78

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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.