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Finding the Fourth Proportional to 283,763.74, 425,645.61 and 96,776.86

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Solution

The fourth proportional to 283,763.74, 425,645.61 and 96,776.86 is: 145,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,763.74 : 425,645.61 = 96,776.86 : x
  2. Step 2: Convert to fraction form
    283,763.74/425,645.61 = 96,776.86/x
  3. Step 3: Cross multiply
    283,763.74x = 425,645.61 × 96,776.86
  4. Step 4: Simplify right side
    283,763.74x = 41,192,645,608.58
  5. Step 5: Solve for x
    x = 41,192,645,608.58/283,763.74
  6. Step 6: Final answer
    x = 145,165.29

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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.