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Finding the Fourth Proportional to 220,363.50, 304,101.64 and 119,761.50

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Solution

The fourth proportional to 220,363.50, 304,101.64 and 119,761.50 is: 165,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,363.50 : 304,101.64 = 119,761.50 : x
  2. Step 2: Convert to fraction form
    220,363.50/304,101.64 = 119,761.50/x
  3. Step 3: Cross multiply
    220,363.50x = 304,101.64 × 119,761.50
  4. Step 4: Simplify right side
    220,363.50x = 36,419,668,558.86
  5. Step 5: Solve for x
    x = 36,419,668,558.86/220,363.50
  6. Step 6: Final answer
    x = 165,270.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.