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Finding the Fourth Proportional to 116,286.30, 160,348.92 and 101,044.32

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Solution

The fourth proportional to 116,286.30, 160,348.92 and 101,044.32 is: 139,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,286.30 : 160,348.92 = 101,044.32 : x
  2. Step 2: Convert to fraction form
    116,286.30/160,348.92 = 101,044.32/x
  3. Step 3: Cross multiply
    116,286.30x = 160,348.92 × 101,044.32
  4. Step 4: Simplify right side
    116,286.30x = 16,202,347,584.13
  5. Step 5: Solve for x
    x = 16,202,347,584.13/116,286.30
  6. Step 6: Final answer
    x = 139,331.53

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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.