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Finding the Fourth Proportional to 159,488.64, 239,233.26 and 149,745.60

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Solution

The fourth proportional to 159,488.64, 239,233.26 and 149,745.60 is: 224,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,488.64 : 239,233.26 = 149,745.60 : x
  2. Step 2: Convert to fraction form
    159,488.64/239,233.26 = 149,745.60/x
  3. Step 3: Cross multiply
    159,488.64x = 239,233.26 × 149,745.60
  4. Step 4: Simplify right side
    159,488.64x = 35,824,128,058.66
  5. Step 5: Solve for x
    x = 35,824,128,058.66/159,488.64
  6. Step 6: Final answer
    x = 224,618.68

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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.