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Finding the Fourth Proportional to 181,952.25, 272,969.92 and 55,610.48

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Solution

The fourth proportional to 181,952.25, 272,969.92 and 55,610.48 is: 83,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,952.25 : 272,969.92 = 55,610.48 : x
  2. Step 2: Convert to fraction form
    181,952.25/272,969.92 = 55,610.48/x
  3. Step 3: Cross multiply
    181,952.25x = 272,969.92 × 55,610.48
  4. Step 4: Simplify right side
    181,952.25x = 15,179,988,276.76
  5. Step 5: Solve for x
    x = 15,179,988,276.76/181,952.25
  6. Step 6: Final answer
    x = 83,428.42

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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.