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Finding the Fourth Proportional to 123,092.26, 169,867.44 and 66,503.76

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Solution

The fourth proportional to 123,092.26, 169,867.44 and 66,503.76 is: 91,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,092.26 : 169,867.44 = 66,503.76 : x
  2. Step 2: Convert to fraction form
    123,092.26/169,867.44 = 66,503.76/x
  3. Step 3: Cross multiply
    123,092.26x = 169,867.44 × 66,503.76
  4. Step 4: Simplify right side
    123,092.26x = 11,296,823,461.57
  5. Step 5: Solve for x
    x = 11,296,823,461.57/123,092.26
  6. Step 6: Final answer
    x = 91,775.25

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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.