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Finding the Fourth Proportional to 116,282.80, 160,470.30 and 65,288.44

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Solution

The fourth proportional to 116,282.80, 160,470.30 and 65,288.44 is: 90,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,282.80 : 160,470.30 = 65,288.44 : x
  2. Step 2: Convert to fraction form
    116,282.80/160,470.30 = 65,288.44/x
  3. Step 3: Cross multiply
    116,282.80x = 160,470.30 × 65,288.44
  4. Step 4: Simplify right side
    116,282.80x = 10,476,855,553.33
  5. Step 5: Solve for x
    x = 10,476,855,553.33/116,282.80
  6. Step 6: Final answer
    x = 90,098.07

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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.