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Finding the Fourth Proportional to 116,281.80, 160,468.92 and 65,287.44

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Solution

The fourth proportional to 116,281.80, 160,468.92 and 65,287.44 is: 90,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,281.80 : 160,468.92 = 65,287.44 : x
  2. Step 2: Convert to fraction form
    116,281.80/160,468.92 = 65,287.44/x
  3. Step 3: Cross multiply
    116,281.80x = 160,468.92 × 65,287.44
  4. Step 4: Simplify right side
    116,281.80x = 10,476,604,986.36
  5. Step 5: Solve for x
    x = 10,476,604,986.36/116,281.80
  6. Step 6: Final answer
    x = 90,096.69

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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.