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Finding the Fourth Proportional to 138,906.10, 191,689.74 and 75,244

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Solution

The fourth proportional to 138,906.10, 191,689.74 and 75,244 is: 103,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.10 : 191,689.74 = 75,244 : x
  2. Step 2: Convert to fraction form
    138,906.10/191,689.74 = 75,244/x
  3. Step 3: Cross multiply
    138,906.10x = 191,689.74 × 75,244
  4. Step 4: Simplify right side
    138,906.10x = 14,423,502,796.56
  5. Step 5: Solve for x
    x = 14,423,502,796.56/138,906.10
  6. Step 6: Final answer
    x = 103,836.35

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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.