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Finding the Fourth Proportional to 123,116.38, 169,890.40 and 69,414.60

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Solution

The fourth proportional to 123,116.38, 169,890.40 and 69,414.60 is: 95,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,116.38 : 169,890.40 = 69,414.60 : x
  2. Step 2: Convert to fraction form
    123,116.38/169,890.40 = 69,414.60/x
  3. Step 3: Cross multiply
    123,116.38x = 169,890.40 × 69,414.60
  4. Step 4: Simplify right side
    123,116.38x = 11,792,874,159.84
  5. Step 5: Solve for x
    x = 11,792,874,159.84/123,116.38
  6. Step 6: Final answer
    x = 95,786.39

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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.