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Finding the Fourth Proportional to 106,512.16, 147,060.72 and 66,244

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Solution

The fourth proportional to 106,512.16, 147,060.72 and 66,244 is: 91,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512.16 : 147,060.72 = 66,244 : x
  2. Step 2: Convert to fraction form
    106,512.16/147,060.72 = 66,244/x
  3. Step 3: Cross multiply
    106,512.16x = 147,060.72 × 66,244
  4. Step 4: Simplify right side
    106,512.16x = 9,741,890,335.68
  5. Step 5: Solve for x
    x = 9,741,890,335.68/106,512.16
  6. Step 6: Final answer
    x = 91,462.71

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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.