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Finding the Fourth Proportional to 283,601.52, 425,001.24 and 157,297.41

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Solution

The fourth proportional to 283,601.52, 425,001.24 and 157,297.41 is: 235,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,601.52 : 425,001.24 = 157,297.41 : x
  2. Step 2: Convert to fraction form
    283,601.52/425,001.24 = 157,297.41/x
  3. Step 3: Cross multiply
    283,601.52x = 425,001.24 × 157,297.41
  4. Step 4: Simplify right side
    283,601.52x = 66,851,594,298.79
  5. Step 5: Solve for x
    x = 66,851,594,298.79/283,601.52
  6. Step 6: Final answer
    x = 235,723.68

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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.