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Finding the Fourth Proportional to 283,212.92, 424,694.75 and 150,062.49

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Solution

The fourth proportional to 283,212.92, 424,694.75 and 150,062.49 is: 225,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,212.92 : 424,694.75 = 150,062.49 : x
  2. Step 2: Convert to fraction form
    283,212.92/424,694.75 = 150,062.49/x
  3. Step 3: Cross multiply
    283,212.92x = 424,694.75 × 150,062.49
  4. Step 4: Simplify right side
    283,212.92x = 63,730,750,924.62
  5. Step 5: Solve for x
    x = 63,730,750,924.62/283,212.92
  6. Step 6: Final answer
    x = 225,027.69

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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.