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Finding the Fourth Proportional to 123,806.11, 171,012.69 and 102,382.39

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Solution

The fourth proportional to 123,806.11, 171,012.69 and 102,382.39 is: 141,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,806.11 : 171,012.69 = 102,382.39 : x
  2. Step 2: Convert to fraction form
    123,806.11/171,012.69 = 102,382.39/x
  3. Step 3: Cross multiply
    123,806.11x = 171,012.69 × 102,382.39
  4. Step 4: Simplify right side
    123,806.11x = 17,508,687,922.53
  5. Step 5: Solve for x
    x = 17,508,687,922.53/123,806.11
  6. Step 6: Final answer
    x = 141,420.22

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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.