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Finding the Fourth Proportional to 123,993.50, 186,042.93 and 67,767.93

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Solution

The fourth proportional to 123,993.50, 186,042.93 and 67,767.93 is: 101,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,993.50 : 186,042.93 = 67,767.93 : x
  2. Step 2: Convert to fraction form
    123,993.50/186,042.93 = 67,767.93/x
  3. Step 3: Cross multiply
    123,993.50x = 186,042.93 × 67,767.93
  4. Step 4: Simplify right side
    123,993.50x = 12,607,744,257.23
  5. Step 5: Solve for x
    x = 12,607,744,257.23/123,993.50
  6. Step 6: Final answer
    x = 101,680.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.