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Finding the Fourth Proportional to 123,545.25, 170,510.74 and 78,227.44

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Solution

The fourth proportional to 123,545.25, 170,510.74 and 78,227.44 is: 107,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,545.25 : 170,510.74 = 78,227.44 : x
  2. Step 2: Convert to fraction form
    123,545.25/170,510.74 = 78,227.44/x
  3. Step 3: Cross multiply
    123,545.25x = 170,510.74 × 78,227.44
  4. Step 4: Simplify right side
    123,545.25x = 13,338,618,060.86
  5. Step 5: Solve for x
    x = 13,338,618,060.86/123,545.25
  6. Step 6: Final answer
    x = 107,965.45

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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.