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Finding the Fourth Proportional to 123,142.76, 169,936.75 and 66,554

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Solution

The fourth proportional to 123,142.76, 169,936.75 and 66,554 is: 91,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142.76 : 169,936.75 = 66,554 : x
  2. Step 2: Convert to fraction form
    123,142.76/169,936.75 = 66,554/x
  3. Step 3: Cross multiply
    123,142.76x = 169,936.75 × 66,554
  4. Step 4: Simplify right side
    123,142.76x = 11,309,970,459.50
  5. Step 5: Solve for x
    x = 11,309,970,459.50/123,142.76
  6. Step 6: Final answer
    x = 91,844.38

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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.