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Finding the Fourth Proportional to 146,540.80, 219,884.10 and 57,797.20

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Solution

The fourth proportional to 146,540.80, 219,884.10 and 57,797.20 is: 86,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540.80 : 219,884.10 = 57,797.20 : x
  2. Step 2: Convert to fraction form
    146,540.80/219,884.10 = 57,797.20/x
  3. Step 3: Cross multiply
    146,540.80x = 219,884.10 × 57,797.20
  4. Step 4: Simplify right side
    146,540.80x = 12,708,685,304.52
  5. Step 5: Solve for x
    x = 12,708,685,304.52/146,540.80
  6. Step 6: Final answer
    x = 86,724.55

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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.