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Finding the Fourth Proportional to 113,758.28, 157,017.65 and 66,027

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Solution

The fourth proportional to 113,758.28, 157,017.65 and 66,027 is: 91,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,758.28 : 157,017.65 = 66,027 : x
  2. Step 2: Convert to fraction form
    113,758.28/157,017.65 = 66,027/x
  3. Step 3: Cross multiply
    113,758.28x = 157,017.65 × 66,027
  4. Step 4: Simplify right side
    113,758.28x = 10,367,404,046.42
  5. Step 5: Solve for x
    x = 10,367,404,046.42/113,758.28
  6. Step 6: Final answer
    x = 91,135.38

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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.