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Finding the Fourth Proportional to 239,932.80, 360,023.40 and 97,882.20

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Solution

The fourth proportional to 239,932.80, 360,023.40 and 97,882.20 is: 146,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,932.80 : 360,023.40 = 97,882.20 : x
  2. Step 2: Convert to fraction form
    239,932.80/360,023.40 = 97,882.20/x
  3. Step 3: Cross multiply
    239,932.80x = 360,023.40 × 97,882.20
  4. Step 4: Simplify right side
    239,932.80x = 35,239,882,443.48
  5. Step 5: Solve for x
    x = 35,239,882,443.48/239,932.80
  6. Step 6: Final answer
    x = 146,873.97

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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.