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Finding the Fourth Proportional to 205,167.12, 283,144.86 and 114,540.90

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Solution

The fourth proportional to 205,167.12, 283,144.86 and 114,540.90 is: 158,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,167.12 : 283,144.86 = 114,540.90 : x
  2. Step 2: Convert to fraction form
    205,167.12/283,144.86 = 114,540.90/x
  3. Step 3: Cross multiply
    205,167.12x = 283,144.86 × 114,540.90
  4. Step 4: Simplify right side
    205,167.12x = 32,431,667,094.77
  5. Step 5: Solve for x
    x = 32,431,667,094.77/205,167.12
  6. Step 6: Final answer
    x = 158,074.39

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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.