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Finding the Fourth Proportional to 100,122.50, 150,067.11 and 55,728.02

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Solution

The fourth proportional to 100,122.50, 150,067.11 and 55,728.02 is: 83,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.50 : 150,067.11 = 55,728.02 : x
  2. Step 2: Convert to fraction form
    100,122.50/150,067.11 = 55,728.02/x
  3. Step 3: Cross multiply
    100,122.50x = 150,067.11 × 55,728.02
  4. Step 4: Simplify right side
    100,122.50x = 8,362,942,907.42
  5. Step 5: Solve for x
    x = 8,362,942,907.42/100,122.50
  6. Step 6: Final answer
    x = 83,527.11

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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.