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Finding the Fourth Proportional to 147,230.34, 203,182.87 and 82,710.97

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Solution

The fourth proportional to 147,230.34, 203,182.87 and 82,710.97 is: 114,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,230.34 : 203,182.87 = 82,710.97 : x
  2. Step 2: Convert to fraction form
    147,230.34/203,182.87 = 82,710.97/x
  3. Step 3: Cross multiply
    147,230.34x = 203,182.87 × 82,710.97
  4. Step 4: Simplify right side
    147,230.34x = 16,805,452,265.08
  5. Step 5: Solve for x
    x = 16,805,452,265.08/147,230.34
  6. Step 6: Final answer
    x = 114,143.95

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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.