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Finding the Fourth Proportional to 283,605.52, 425,007.24 and 157,301.41

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Solution

The fourth proportional to 283,605.52, 425,007.24 and 157,301.41 is: 235,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,605.52 : 425,007.24 = 157,301.41 : x
  2. Step 2: Convert to fraction form
    283,605.52/425,007.24 = 157,301.41/x
  3. Step 3: Cross multiply
    283,605.52x = 425,007.24 × 157,301.41
  4. Step 4: Simplify right side
    283,605.52x = 66,854,238,112.21
  5. Step 5: Solve for x
    x = 66,854,238,112.21/283,605.52
  6. Step 6: Final answer
    x = 235,729.68

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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.