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Finding the Fourth Proportional to 267,859.78, 369,645.34 and 147,003.02

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Solution

The fourth proportional to 267,859.78, 369,645.34 and 147,003.02 is: 202,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,859.78 : 369,645.34 = 147,003.02 : x
  2. Step 2: Convert to fraction form
    267,859.78/369,645.34 = 147,003.02/x
  3. Step 3: Cross multiply
    267,859.78x = 369,645.34 × 147,003.02
  4. Step 4: Simplify right side
    267,859.78x = 54,338,982,834.25
  5. Step 5: Solve for x
    x = 54,338,982,834.25/267,859.78
  6. Step 6: Final answer
    x = 202,863.54

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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.