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Finding the Fourth Proportional to 123,522.88, 170,371.56 and 78,208.24

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Solution

The fourth proportional to 123,522.88, 170,371.56 and 78,208.24 is: 107,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,522.88 : 170,371.56 = 78,208.24 : x
  2. Step 2: Convert to fraction form
    123,522.88/170,371.56 = 78,208.24/x
  3. Step 3: Cross multiply
    123,522.88x = 170,371.56 × 78,208.24
  4. Step 4: Simplify right side
    123,522.88x = 13,324,459,853.65
  5. Step 5: Solve for x
    x = 13,324,459,853.65/123,522.88
  6. Step 6: Final answer
    x = 107,870.38

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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.