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Finding the Fourth Proportional to 283,776.10, 425,665.67 and 84,098.21

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Solution

The fourth proportional to 283,776.10, 425,665.67 and 84,098.21 is: 126,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,776.10 : 425,665.67 = 84,098.21 : x
  2. Step 2: Convert to fraction form
    283,776.10/425,665.67 = 84,098.21/x
  3. Step 3: Cross multiply
    283,776.10x = 425,665.67 × 84,098.21
  4. Step 4: Simplify right side
    283,776.10x = 35,797,720,484.96
  5. Step 5: Solve for x
    x = 35,797,720,484.96/283,776.10
  6. Step 6: Final answer
    x = 126,147.77

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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.