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Finding the Fourth Proportional to 113,976.38, 157,306.95 and 66,257.42

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Solution

The fourth proportional to 113,976.38, 157,306.95 and 66,257.42 is: 91,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,976.38 : 157,306.95 = 66,257.42 : x
  2. Step 2: Convert to fraction form
    113,976.38/157,306.95 = 66,257.42/x
  3. Step 3: Cross multiply
    113,976.38x = 157,306.95 × 66,257.42
  4. Step 4: Simplify right side
    113,976.38x = 10,422,751,868.53
  5. Step 5: Solve for x
    x = 10,422,751,868.53/113,976.38
  6. Step 6: Final answer
    x = 91,446.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.