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Finding the Fourth Proportional to 138,130.05, 190,616.31 and 84,414.90

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Solution

The fourth proportional to 138,130.05, 190,616.31 and 84,414.90 is: 116,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,130.05 : 190,616.31 = 84,414.90 : x
  2. Step 2: Convert to fraction form
    138,130.05/190,616.31 = 84,414.90/x
  3. Step 3: Cross multiply
    138,130.05x = 190,616.31 × 84,414.90
  4. Step 4: Simplify right side
    138,130.05x = 16,090,856,747.02
  5. Step 5: Solve for x
    x = 16,090,856,747.02/138,130.05
  6. Step 6: Final answer
    x = 116,490.63

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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.