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Finding the Fourth Proportional to 150,357.53, 225,569.92 and 50,514.98

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Solution

The fourth proportional to 150,357.53, 225,569.92 and 50,514.98 is: 75,783.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,357.53 : 225,569.92 = 50,514.98 : x
  2. Step 2: Convert to fraction form
    150,357.53/225,569.92 = 50,514.98/x
  3. Step 3: Cross multiply
    150,357.53x = 225,569.92 × 50,514.98
  4. Step 4: Simplify right side
    150,357.53x = 11,394,659,997.40
  5. Step 5: Solve for x
    x = 11,394,659,997.40/150,357.53
  6. Step 6: Final answer
    x = 75,783.77

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1.5x scale

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.