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Finding the Fourth Proportional to 259,909.64, 389,864.17 and 97,833.96

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Solution

The fourth proportional to 259,909.64, 389,864.17 and 97,833.96 is: 146,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,909.64 : 389,864.17 = 97,833.96 : x
  2. Step 2: Convert to fraction form
    259,909.64/389,864.17 = 97,833.96/x
  3. Step 3: Cross multiply
    259,909.64x = 389,864.17 × 97,833.96
  4. Step 4: Simplify right side
    259,909.64x = 38,141,955,613.21
  5. Step 5: Solve for x
    x = 38,141,955,613.21/259,909.64
  6. Step 6: Final answer
    x = 146,750.83

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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.