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Finding the Fourth Proportional to 114,540.56, 158,033.60 and 74,256

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Solution

The fourth proportional to 114,540.56, 158,033.60 and 74,256 is: 102,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.56 : 158,033.60 = 74,256 : x
  2. Step 2: Convert to fraction form
    114,540.56/158,033.60 = 74,256/x
  3. Step 3: Cross multiply
    114,540.56x = 158,033.60 × 74,256
  4. Step 4: Simplify right side
    114,540.56x = 11,734,943,001.60
  5. Step 5: Solve for x
    x = 11,734,943,001.60/114,540.56
  6. Step 6: Final answer
    x = 102,452.29

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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.