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Finding the Fourth Proportional to 221,863.90, 332,601.45 and 133,023.10

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Solution

The fourth proportional to 221,863.90, 332,601.45 and 133,023.10 is: 199,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,863.90 : 332,601.45 = 133,023.10 : x
  2. Step 2: Convert to fraction form
    221,863.90/332,601.45 = 133,023.10/x
  3. Step 3: Cross multiply
    221,863.90x = 332,601.45 × 133,023.10
  4. Step 4: Simplify right side
    221,863.90x = 44,243,675,943.50
  5. Step 5: Solve for x
    x = 44,243,675,943.50/221,863.90
  6. Step 6: Final answer
    x = 199,418.09

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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.