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Finding the Fourth Proportional to 361,097.06, 541,470.62 and 181,105.13

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Solution

The fourth proportional to 361,097.06, 541,470.62 and 181,105.13 is: 271,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,097.06 : 541,470.62 = 181,105.13 : x
  2. Step 2: Convert to fraction form
    361,097.06/541,470.62 = 181,105.13/x
  3. Step 3: Cross multiply
    361,097.06x = 541,470.62 × 181,105.13
  4. Step 4: Simplify right side
    361,097.06x = 98,063,108,832.72
  5. Step 5: Solve for x
    x = 98,063,108,832.72/361,097.06
  6. Step 6: Final answer
    x = 271,569.95

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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.