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Finding the Fourth Proportional to 116,370.74, 160,582.10 and 65,380.70

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Solution

The fourth proportional to 116,370.74, 160,582.10 and 65,380.70 is: 90,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,370.74 : 160,582.10 = 65,380.70 : x
  2. Step 2: Convert to fraction form
    116,370.74/160,582.10 = 65,380.70/x
  3. Step 3: Cross multiply
    116,370.74x = 160,582.10 × 65,380.70
  4. Step 4: Simplify right side
    116,370.74x = 10,498,970,105.47
  5. Step 5: Solve for x
    x = 10,498,970,105.47/116,370.74
  6. Step 6: Final answer
    x = 90,220.02

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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.