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Finding the Fourth Proportional to 204,095.88, 281,646.72 and 113,449.68

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Solution

The fourth proportional to 204,095.88, 281,646.72 and 113,449.68 is: 156,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,095.88 : 281,646.72 = 113,449.68 : x
  2. Step 2: Convert to fraction form
    204,095.88/281,646.72 = 113,449.68/x
  3. Step 3: Cross multiply
    204,095.88x = 281,646.72 × 113,449.68
  4. Step 4: Simplify right side
    204,095.88x = 31,952,730,257.05
  5. Step 5: Solve for x
    x = 31,952,730,257.05/204,095.88
  6. Step 6: Final answer
    x = 156,557.45

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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.