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Finding the Fourth Proportional to 138,584.22, 191,246.17 and 74,922

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Solution

The fourth proportional to 138,584.22, 191,246.17 and 74,922 is: 103,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,584.22 : 191,246.17 = 74,922 : x
  2. Step 2: Convert to fraction form
    138,584.22/191,246.17 = 74,922/x
  3. Step 3: Cross multiply
    138,584.22x = 191,246.17 × 74,922
  4. Step 4: Simplify right side
    138,584.22x = 14,328,545,548.74
  5. Step 5: Solve for x
    x = 14,328,545,548.74/138,584.22
  6. Step 6: Final answer
    x = 103,392.33

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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.