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Finding the Fourth Proportional to 106,625.88, 160,035.54 and 56,747.97

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Solution

The fourth proportional to 106,625.88, 160,035.54 and 56,747.97 is: 85,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,625.88 : 160,035.54 = 56,747.97 : x
  2. Step 2: Convert to fraction form
    106,625.88/160,035.54 = 56,747.97/x
  3. Step 3: Cross multiply
    106,625.88x = 160,035.54 × 56,747.97
  4. Step 4: Simplify right side
    106,625.88x = 9,081,692,022.85
  5. Step 5: Solve for x
    x = 9,081,692,022.85/106,625.88
  6. Step 6: Final answer
    x = 85,173.43

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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.