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Finding the Fourth Proportional to 119,069.72, 164,318.33 and 65,359.73

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Solution

The fourth proportional to 119,069.72, 164,318.33 and 65,359.73 is: 90,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,069.72 : 164,318.33 = 65,359.73 : x
  2. Step 2: Convert to fraction form
    119,069.72/164,318.33 = 65,359.73/x
  3. Step 3: Cross multiply
    119,069.72x = 164,318.33 × 65,359.73
  4. Step 4: Simplify right side
    119,069.72x = 10,739,802,257.05
  5. Step 5: Solve for x
    x = 10,739,802,257.05/119,069.72
  6. Step 6: Final answer
    x = 90,197.59

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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.