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Finding the Fourth Proportional to 138,564.32, 191,218.66 and 74,902.12

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Solution

The fourth proportional to 138,564.32, 191,218.66 and 74,902.12 is: 103,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,564.32 : 191,218.66 = 74,902.12 : x
  2. Step 2: Convert to fraction form
    138,564.32/191,218.66 = 74,902.12/x
  3. Step 3: Cross multiply
    138,564.32x = 191,218.66 × 74,902.12
  4. Step 4: Simplify right side
    138,564.32x = 14,322,682,352.26
  5. Step 5: Solve for x
    x = 14,322,682,352.26/138,564.32
  6. Step 6: Final answer
    x = 103,364.87

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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.