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Finding the Fourth Proportional to 82,201.56, 123,203.85 and 42,179.46

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Solution

The fourth proportional to 82,201.56, 123,203.85 and 42,179.46 is: 63,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.56 : 123,203.85 = 42,179.46 : x
  2. Step 2: Convert to fraction form
    82,201.56/123,203.85 = 42,179.46/x
  3. Step 3: Cross multiply
    82,201.56x = 123,203.85 × 42,179.46
  4. Step 4: Simplify right side
    82,201.56x = 5,196,671,862.92
  5. Step 5: Solve for x
    x = 5,196,671,862.92/82,201.56
  6. Step 6: Final answer
    x = 63,218.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.