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Finding the Fourth Proportional to 119,493.90, 164,905.31 and 65,049.70

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Solution

The fourth proportional to 119,493.90, 164,905.31 and 65,049.70 is: 89,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,493.90 : 164,905.31 = 65,049.70 : x
  2. Step 2: Convert to fraction form
    119,493.90/164,905.31 = 65,049.70/x
  3. Step 3: Cross multiply
    119,493.90x = 164,905.31 × 65,049.70
  4. Step 4: Simplify right side
    119,493.90x = 10,727,040,943.91
  5. Step 5: Solve for x
    x = 10,727,040,943.91/119,493.90
  6. Step 6: Final answer
    x = 89,770.62

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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.