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Finding the Fourth Proportional to 150,615.12, 225,784.44 and 52,050

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Solution

The fourth proportional to 150,615.12, 225,784.44 and 52,050 is: 78,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,615.12 : 225,784.44 = 52,050 : x
  2. Step 2: Convert to fraction form
    150,615.12/225,784.44 = 52,050/x
  3. Step 3: Cross multiply
    150,615.12x = 225,784.44 × 52,050
  4. Step 4: Simplify right side
    150,615.12x = 11,752,080,102
  5. Step 5: Solve for x
    x = 11,752,080,102/150,615.12
  6. Step 6: Final answer
    x = 78,027.23

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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.