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Finding the Fourth Proportional to 194,796.80, 292,227.39 and 68,404.17

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Solution

The fourth proportional to 194,796.80, 292,227.39 and 68,404.17 is: 102,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,796.80 : 292,227.39 = 68,404.17 : x
  2. Step 2: Convert to fraction form
    194,796.80/292,227.39 = 68,404.17/x
  3. Step 3: Cross multiply
    194,796.80x = 292,227.39 × 68,404.17
  4. Step 4: Simplify right side
    194,796.80x = 19,989,572,064.22
  5. Step 5: Solve for x
    x = 19,989,572,064.22/194,796.80
  6. Step 6: Final answer
    x = 102,617.56

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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.