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Finding the Fourth Proportional to 231,266.54, 319,201.16 and 150,553.49

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Solution

The fourth proportional to 231,266.54, 319,201.16 and 150,553.49 is: 207,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,266.54 : 319,201.16 = 150,553.49 : x
  2. Step 2: Convert to fraction form
    231,266.54/319,201.16 = 150,553.49/x
  3. Step 3: Cross multiply
    231,266.54x = 319,201.16 × 150,553.49
  4. Step 4: Simplify right side
    231,266.54x = 48,056,846,301.28
  5. Step 5: Solve for x
    x = 48,056,846,301.28/231,266.54
  6. Step 6: Final answer
    x = 207,798.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.