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Finding the Fourth Proportional to 101,163.85, 151,728.73 and 37,108.78

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Solution

The fourth proportional to 101,163.85, 151,728.73 and 37,108.78 is: 55,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,163.85 : 151,728.73 = 37,108.78 : x
  2. Step 2: Convert to fraction form
    101,163.85/151,728.73 = 37,108.78/x
  3. Step 3: Cross multiply
    101,163.85x = 151,728.73 × 37,108.78
  4. Step 4: Simplify right side
    101,163.85x = 5,630,468,061.25
  5. Step 5: Solve for x
    x = 5,630,468,061.25/101,163.85
  6. Step 6: Final answer
    x = 55,656.92

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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.