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Finding the Fourth Proportional to 181,672.25, 272,518.10 and 57,022.97

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Solution

The fourth proportional to 181,672.25, 272,518.10 and 57,022.97 is: 85,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,672.25 : 272,518.10 = 57,022.97 : x
  2. Step 2: Convert to fraction form
    181,672.25/272,518.10 = 57,022.97/x
  3. Step 3: Cross multiply
    181,672.25x = 272,518.10 × 57,022.97
  4. Step 4: Simplify right side
    181,672.25x = 15,539,791,155.64
  5. Step 5: Solve for x
    x = 15,539,791,155.64/181,672.25
  6. Step 6: Final answer
    x = 85,537.51

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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.