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Finding the Fourth Proportional to 283,684.80, 425,624.40 and 126,026.40

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Solution

The fourth proportional to 283,684.80, 425,624.40 and 126,026.40 is: 189,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,684.80 : 425,624.40 = 126,026.40 : x
  2. Step 2: Convert to fraction form
    283,684.80/425,624.40 = 126,026.40/x
  3. Step 3: Cross multiply
    283,684.80x = 425,624.40 × 126,026.40
  4. Step 4: Simplify right side
    283,684.80x = 53,639,910,884.16
  5. Step 5: Solve for x
    x = 53,639,910,884.16/283,684.80
  6. Step 6: Final answer
    x = 189,082.78

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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.