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Finding the Fourth Proportional to 123,767.93, 170,795.17 and 67,178.09

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Solution

The fourth proportional to 123,767.93, 170,795.17 and 67,178.09 is: 92,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.93 : 170,795.17 = 67,178.09 : x
  2. Step 2: Convert to fraction form
    123,767.93/170,795.17 = 67,178.09/x
  3. Step 3: Cross multiply
    123,767.93x = 170,795.17 × 67,178.09
  4. Step 4: Simplify right side
    123,767.93x = 11,473,693,301.83
  5. Step 5: Solve for x
    x = 11,473,693,301.83/123,767.93
  6. Step 6: Final answer
    x = 92,703.28

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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.