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Finding the Fourth Proportional to 123,611.74, 170,521.41 and 78,213.22

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Solution

The fourth proportional to 123,611.74, 170,521.41 and 78,213.22 is: 107,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,611.74 : 170,521.41 = 78,213.22 : x
  2. Step 2: Convert to fraction form
    123,611.74/170,521.41 = 78,213.22/x
  3. Step 3: Cross multiply
    123,611.74x = 170,521.41 × 78,213.22
  4. Step 4: Simplify right side
    123,611.74x = 13,337,028,555.04
  5. Step 5: Solve for x
    x = 13,337,028,555.04/123,611.74
  6. Step 6: Final answer
    x = 107,894.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.