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Finding the Fourth Proportional to 116,144.57, 160,348.21 and 73,160.91

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Solution

The fourth proportional to 116,144.57, 160,348.21 and 73,160.91 is: 101,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,144.57 : 160,348.21 = 73,160.91 : x
  2. Step 2: Convert to fraction form
    116,144.57/160,348.21 = 73,160.91/x
  3. Step 3: Cross multiply
    116,144.57x = 160,348.21 × 73,160.91
  4. Step 4: Simplify right side
    116,144.57x = 11,731,220,960.47
  5. Step 5: Solve for x
    x = 11,731,220,960.47/116,144.57
  6. Step 6: Final answer
    x = 101,005.33

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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.