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Finding the Fourth Proportional to 281,324.50, 421,986.84 and 84,332.50

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Solution

The fourth proportional to 281,324.50, 421,986.84 and 84,332.50 is: 126,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324.50 : 421,986.84 = 84,332.50 : x
  2. Step 2: Convert to fraction form
    281,324.50/421,986.84 = 84,332.50/x
  3. Step 3: Cross multiply
    281,324.50x = 421,986.84 × 84,332.50
  4. Step 4: Simplify right side
    281,324.50x = 35,587,205,184.30
  5. Step 5: Solve for x
    x = 35,587,205,184.30/281,324.50
  6. Step 6: Final answer
    x = 126,498.78

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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.