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Finding the Fourth Proportional to 181,214.31, 271,800.33 and 48,104.88

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Solution

The fourth proportional to 181,214.31, 271,800.33 and 48,104.88 is: 72,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214.31 : 271,800.33 = 48,104.88 : x
  2. Step 2: Convert to fraction form
    181,214.31/271,800.33 = 48,104.88/x
  3. Step 3: Cross multiply
    181,214.31x = 271,800.33 × 48,104.88
  4. Step 4: Simplify right side
    181,214.31x = 13,074,922,258.61
  5. Step 5: Solve for x
    x = 13,074,922,258.61/181,214.31
  6. Step 6: Final answer
    x = 72,151.71

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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.