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Finding the Fourth Proportional to 138,574.33, 191,232.70 and 74,912.11

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Solution

The fourth proportional to 138,574.33, 191,232.70 and 74,912.11 is: 103,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,574.33 : 191,232.70 = 74,912.11 : x
  2. Step 2: Convert to fraction form
    138,574.33/191,232.70 = 74,912.11/x
  3. Step 3: Cross multiply
    138,574.33x = 191,232.70 × 74,912.11
  4. Step 4: Simplify right side
    138,574.33x = 14,325,644,392.64
  5. Step 5: Solve for x
    x = 14,325,644,392.64/138,574.33
  6. Step 6: Final answer
    x = 103,378.78

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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.