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Finding the Fourth Proportional to 159,723.60, 239,585.40 and 146,821.20

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Solution

The fourth proportional to 159,723.60, 239,585.40 and 146,821.20 is: 220,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,723.60 : 239,585.40 = 146,821.20 : x
  2. Step 2: Convert to fraction form
    159,723.60/239,585.40 = 146,821.20/x
  3. Step 3: Cross multiply
    159,723.60x = 239,585.40 × 146,821.20
  4. Step 4: Simplify right side
    159,723.60x = 35,176,215,930.48
  5. Step 5: Solve for x
    x = 35,176,215,930.48/159,723.60
  6. Step 6: Final answer
    x = 220,231.80

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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.