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Finding the Fourth Proportional to 283,894.71, 425,930.89 and 84,216.14

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Solution

The fourth proportional to 283,894.71, 425,930.89 and 84,216.14 is: 126,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,894.71 : 425,930.89 = 84,216.14 : x
  2. Step 2: Convert to fraction form
    283,894.71/425,930.89 = 84,216.14/x
  3. Step 3: Cross multiply
    283,894.71x = 425,930.89 × 84,216.14
  4. Step 4: Simplify right side
    283,894.71x = 35,870,255,462.56
  5. Step 5: Solve for x
    x = 35,870,255,462.56/283,894.71
  6. Step 6: Final answer
    x = 126,350.56

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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.