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Finding the Fourth Proportional to 138,414.12, 190,812.42 and 98,601

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Solution

The fourth proportional to 138,414.12, 190,812.42 and 98,601 is: 135,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,414.12 : 190,812.42 = 98,601 : x
  2. Step 2: Convert to fraction form
    138,414.12/190,812.42 = 98,601/x
  3. Step 3: Cross multiply
    138,414.12x = 190,812.42 × 98,601
  4. Step 4: Simplify right side
    138,414.12x = 18,814,295,424.42
  5. Step 5: Solve for x
    x = 18,814,295,424.42/138,414.12
  6. Step 6: Final answer
    x = 135,927.57

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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.