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Finding the Fourth Proportional to 119,046.88, 164,286.68 and 65,336.90

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Solution

The fourth proportional to 119,046.88, 164,286.68 and 65,336.90 is: 90,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046.88 : 164,286.68 = 65,336.90 : x
  2. Step 2: Convert to fraction form
    119,046.88/164,286.68 = 65,336.90/x
  3. Step 3: Cross multiply
    119,046.88x = 164,286.68 × 65,336.90
  4. Step 4: Simplify right side
    119,046.88x = 10,733,982,466.52
  5. Step 5: Solve for x
    x = 10,733,982,466.52/119,046.88
  6. Step 6: Final answer
    x = 90,166.01

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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.