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Finding the Fourth Proportional to 102,134.16, 140,949.15 and 61,825.12

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Solution

The fourth proportional to 102,134.16, 140,949.15 and 61,825.12 is: 85,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,134.16 : 140,949.15 = 61,825.12 : x
  2. Step 2: Convert to fraction form
    102,134.16/140,949.15 = 61,825.12/x
  3. Step 3: Cross multiply
    102,134.16x = 140,949.15 × 61,825.12
  4. Step 4: Simplify right side
    102,134.16x = 8,714,198,112.65
  5. Step 5: Solve for x
    x = 8,714,198,112.65/102,134.16
  6. Step 6: Final answer
    x = 85,321.09

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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.