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Finding the Fourth Proportional to 119,535.70, 164,960.96 and 65,089.88

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Solution

The fourth proportional to 119,535.70, 164,960.96 and 65,089.88 is: 89,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535.70 : 164,960.96 = 65,089.88 : x
  2. Step 2: Convert to fraction form
    119,535.70/164,960.96 = 65,089.88/x
  3. Step 3: Cross multiply
    119,535.70x = 164,960.96 × 65,089.88
  4. Step 4: Simplify right side
    119,535.70x = 10,737,288,559.43
  5. Step 5: Solve for x
    x = 10,737,288,559.43/119,535.70
  6. Step 6: Final answer
    x = 89,824.95

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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.