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Finding the Fourth Proportional to 181,956.80, 273,032.40 and 82,132.40

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Solution

The fourth proportional to 181,956.80, 273,032.40 and 82,132.40 is: 123,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,956.80 : 273,032.40 = 82,132.40 : x
  2. Step 2: Convert to fraction form
    181,956.80/273,032.40 = 82,132.40/x
  3. Step 3: Cross multiply
    181,956.80x = 273,032.40 × 82,132.40
  4. Step 4: Simplify right side
    181,956.80x = 22,424,806,289.76
  5. Step 5: Solve for x
    x = 22,424,806,289.76/181,956.80
  6. Step 6: Final answer
    x = 123,242.47

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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.