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Finding the Fourth Proportional to 130,089.20, 194,842.20 and 106,761.20

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Solution

The fourth proportional to 130,089.20, 194,842.20 and 106,761.20 is: 159,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,089.20 : 194,842.20 = 106,761.20 : x
  2. Step 2: Convert to fraction form
    130,089.20/194,842.20 = 106,761.20/x
  3. Step 3: Cross multiply
    130,089.20x = 194,842.20 × 106,761.20
  4. Step 4: Simplify right side
    130,089.20x = 20,801,587,082.64
  5. Step 5: Solve for x
    x = 20,801,587,082.64/130,089.20
  6. Step 6: Final answer
    x = 159,902.49

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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.