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Finding the Fourth Proportional to 148,203.97, 222,306.51 and 35,884

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Solution

The fourth proportional to 148,203.97, 222,306.51 and 35,884 is: 53,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,203.97 : 222,306.51 = 35,884 : x
  2. Step 2: Convert to fraction form
    148,203.97/222,306.51 = 35,884/x
  3. Step 3: Cross multiply
    148,203.97x = 222,306.51 × 35,884
  4. Step 4: Simplify right side
    148,203.97x = 7,977,246,625.42
  5. Step 5: Solve for x
    x = 7,977,246,625.42/148,203.97
  6. Step 6: Final answer
    x = 53,826.13

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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.