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Finding the Fourth Proportional to 138,005.30, 190,414.07 and 80,612.04

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Solution

The fourth proportional to 138,005.30, 190,414.07 and 80,612.04 is: 111,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005.30 : 190,414.07 = 80,612.04 : x
  2. Step 2: Convert to fraction form
    138,005.30/190,414.07 = 80,612.04/x
  3. Step 3: Cross multiply
    138,005.30x = 190,414.07 × 80,612.04
  4. Step 4: Simplify right side
    138,005.30x = 15,349,667,013.97
  5. Step 5: Solve for x
    x = 15,349,667,013.97/138,005.30
  6. Step 6: Final answer
    x = 111,225.20

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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.