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Finding the Fourth Proportional to 120,842.69, 181,251.27 and 32,105.16

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Solution

The fourth proportional to 120,842.69, 181,251.27 and 32,105.16 is: 48,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842.69 : 181,251.27 = 32,105.16 : x
  2. Step 2: Convert to fraction form
    120,842.69/181,251.27 = 32,105.16/x
  3. Step 3: Cross multiply
    120,842.69x = 181,251.27 × 32,105.16
  4. Step 4: Simplify right side
    120,842.69x = 5,819,101,023.55
  5. Step 5: Solve for x
    x = 5,819,101,023.55/120,842.69
  6. Step 6: Final answer
    x = 48,154.35

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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.