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Finding the Fourth Proportional to 181,282.54, 250,164.30 and 100,707.97

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Solution

The fourth proportional to 181,282.54, 250,164.30 and 100,707.97 is: 138,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,282.54 : 250,164.30 = 100,707.97 : x
  2. Step 2: Convert to fraction form
    181,282.54/250,164.30 = 100,707.97/x
  3. Step 3: Cross multiply
    181,282.54x = 250,164.30 × 100,707.97
  4. Step 4: Simplify right side
    181,282.54x = 25,193,538,819.47
  5. Step 5: Solve for x
    x = 25,193,538,819.47/181,282.54
  6. Step 6: Final answer
    x = 138,973.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.