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Finding the Fourth Proportional to 203,882.31, 281,357.59 and 114,458.31

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Solution

The fourth proportional to 203,882.31, 281,357.59 and 114,458.31 is: 157,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.31 : 281,357.59 = 114,458.31 : x
  2. Step 2: Convert to fraction form
    203,882.31/281,357.59 = 114,458.31/x
  3. Step 3: Cross multiply
    203,882.31x = 281,357.59 × 114,458.31
  4. Step 4: Simplify right side
    203,882.31x = 32,203,714,257.07
  5. Step 5: Solve for x
    x = 32,203,714,257.07/203,882.31
  6. Step 6: Final answer
    x = 157,952.47

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1.5x scale

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.