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Finding the Fourth Proportional to 283,909.46, 425,922.96 and 115,429.81

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Solution

The fourth proportional to 283,909.46, 425,922.96 and 115,429.81 is: 173,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,909.46 : 425,922.96 = 115,429.81 : x
  2. Step 2: Convert to fraction form
    283,909.46/425,922.96 = 115,429.81/x
  3. Step 3: Cross multiply
    283,909.46x = 425,922.96 × 115,429.81
  4. Step 4: Simplify right side
    283,909.46x = 49,164,205,864.80
  5. Step 5: Solve for x
    x = 49,164,205,864.80/283,909.46
  6. Step 6: Final answer
    x = 173,168.61

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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.