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Finding the Fourth Proportional to 119,049.91, 164,292.08 and 65,336.85

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Solution

The fourth proportional to 119,049.91, 164,292.08 and 65,336.85 is: 90,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,049.91 : 164,292.08 = 65,336.85 : x
  2. Step 2: Convert to fraction form
    119,049.91/164,292.08 = 65,336.85/x
  3. Step 3: Cross multiply
    119,049.91x = 164,292.08 × 65,336.85
  4. Step 4: Simplify right side
    119,049.91x = 10,734,326,987.15
  5. Step 5: Solve for x
    x = 10,734,326,987.15/119,049.91
  6. Step 6: Final answer
    x = 90,166.61

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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.