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Finding the Fourth Proportional to 150,143.52, 207,189.11 and 82,146.95

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Solution

The fourth proportional to 150,143.52, 207,189.11 and 82,146.95 is: 113,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,143.52 : 207,189.11 = 82,146.95 : x
  2. Step 2: Convert to fraction form
    150,143.52/207,189.11 = 82,146.95/x
  3. Step 3: Cross multiply
    150,143.52x = 207,189.11 × 82,146.95
  4. Step 4: Simplify right side
    150,143.52x = 17,019,952,013.03
  5. Step 5: Solve for x
    x = 17,019,952,013.03/150,143.52
  6. Step 6: Final answer
    x = 113,357.89

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