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Finding the Fourth Proportional to 123,770.64, 170,802.48 and 67,180.80

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Solution

The fourth proportional to 123,770.64, 170,802.48 and 67,180.80 is: 92,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,770.64 : 170,802.48 = 67,180.80 : x
  2. Step 2: Convert to fraction form
    123,770.64/170,802.48 = 67,180.80/x
  3. Step 3: Cross multiply
    123,770.64x = 170,802.48 × 67,180.80
  4. Step 4: Simplify right side
    123,770.64x = 11,474,647,248.38
  5. Step 5: Solve for x
    x = 11,474,647,248.38/123,770.64
  6. Step 6: Final answer
    x = 92,708.96

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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.