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Finding the Fourth Proportional to 130,882.32, 196,354.84 and 42,144.16

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Solution

The fourth proportional to 130,882.32, 196,354.84 and 42,144.16 is: 63,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,882.32 : 196,354.84 = 42,144.16 : x
  2. Step 2: Convert to fraction form
    130,882.32/196,354.84 = 42,144.16/x
  3. Step 3: Cross multiply
    130,882.32x = 196,354.84 × 42,144.16
  4. Step 4: Simplify right side
    130,882.32x = 8,275,209,793.73
  5. Step 5: Solve for x
    x = 8,275,209,793.73/130,882.32
  6. Step 6: Final answer
    x = 63,226.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.