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Finding the Fourth Proportional to 181,291.13, 271,843.32 and 81,365.66

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Solution

The fourth proportional to 181,291.13, 271,843.32 and 81,365.66 is: 122,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,291.13 : 271,843.32 = 81,365.66 : x
  2. Step 2: Convert to fraction form
    181,291.13/271,843.32 = 81,365.66/x
  3. Step 3: Cross multiply
    181,291.13x = 271,843.32 × 81,365.66
  4. Step 4: Simplify right side
    181,291.13x = 22,118,711,148.39
  5. Step 5: Solve for x
    x = 22,118,711,148.39/181,291.13
  6. Step 6: Final answer
    x = 122,006.58

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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.