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Finding the Fourth Proportional to 123,796.38, 170,838.96 and 67,207.74

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Solution

The fourth proportional to 123,796.38, 170,838.96 and 67,207.74 is: 92,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,796.38 : 170,838.96 = 67,207.74 : x
  2. Step 2: Convert to fraction form
    123,796.38/170,838.96 = 67,207.74/x
  3. Step 3: Cross multiply
    123,796.38x = 170,838.96 × 67,207.74
  4. Step 4: Simplify right side
    123,796.38x = 11,481,700,405.55
  5. Step 5: Solve for x
    x = 11,481,700,405.55/123,796.38
  6. Step 6: Final answer
    x = 92,746.66

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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.