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Finding the Fourth Proportional to 113,876.82, 157,138.38 and 66,140.28

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Solution

The fourth proportional to 113,876.82, 157,138.38 and 66,140.28 is: 91,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,876.82 : 157,138.38 = 66,140.28 : x
  2. Step 2: Convert to fraction form
    113,876.82/157,138.38 = 66,140.28/x
  3. Step 3: Cross multiply
    113,876.82x = 157,138.38 × 66,140.28
  4. Step 4: Simplify right side
    113,876.82x = 10,393,176,451.95
  5. Step 5: Solve for x
    x = 10,393,176,451.95/113,876.82
  6. Step 6: Final answer
    x = 91,266.83

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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.