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Finding the Fourth Proportional to 100,454.22, 150,764.22 and 50,548.50

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Solution

The fourth proportional to 100,454.22, 150,764.22 and 50,548.50 is: 75,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.22 : 150,764.22 = 50,548.50 : x
  2. Step 2: Convert to fraction form
    100,454.22/150,764.22 = 50,548.50/x
  3. Step 3: Cross multiply
    100,454.22x = 150,764.22 × 50,548.50
  4. Step 4: Simplify right side
    100,454.22x = 7,620,905,174.67
  5. Step 5: Solve for x
    x = 7,620,905,174.67/100,454.22
  6. Step 6: Final answer
    x = 75,864.46

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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.