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Finding the Fourth Proportional to 259,514.60, 389,284.70 and 135,098.60

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Solution

The fourth proportional to 259,514.60, 389,284.70 and 135,098.60 is: 202,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,514.60 : 389,284.70 = 135,098.60 : x
  2. Step 2: Convert to fraction form
    259,514.60/389,284.70 = 135,098.60/x
  3. Step 3: Cross multiply
    259,514.60x = 389,284.70 × 135,098.60
  4. Step 4: Simplify right side
    259,514.60x = 52,591,817,971.42
  5. Step 5: Solve for x
    x = 52,591,817,971.42/259,514.60
  6. Step 6: Final answer
    x = 202,654.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.