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Finding the Fourth Proportional to 147,952.46, 204,124.41 and 84,245.15

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Solution

The fourth proportional to 147,952.46, 204,124.41 and 84,245.15 is: 116,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,952.46 : 204,124.41 = 84,245.15 : x
  2. Step 2: Convert to fraction form
    147,952.46/204,124.41 = 84,245.15/x
  3. Step 3: Cross multiply
    147,952.46x = 204,124.41 × 84,245.15
  4. Step 4: Simplify right side
    147,952.46x = 17,196,491,539.11
  5. Step 5: Solve for x
    x = 17,196,491,539.11/147,952.46
  6. Step 6: Final answer
    x = 116,229.85

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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.