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Finding the Fourth Proportional to 181,843.32, 272,764.44 and 81,886.48

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Solution

The fourth proportional to 181,843.32, 272,764.44 and 81,886.48 is: 122,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,843.32 : 272,764.44 = 81,886.48 : x
  2. Step 2: Convert to fraction form
    181,843.32/272,764.44 = 81,886.48/x
  3. Step 3: Cross multiply
    181,843.32x = 272,764.44 × 81,886.48
  4. Step 4: Simplify right side
    181,843.32x = 22,335,719,860.77
  5. Step 5: Solve for x
    x = 22,335,719,860.77/181,843.32
  6. Step 6: Final answer
    x = 122,829.48

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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.