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Finding the Fourth Proportional to 202,447.90, 303,890.55 and 113,874.40

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Solution

The fourth proportional to 202,447.90, 303,890.55 and 113,874.40 is: 170,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,447.90 : 303,890.55 = 113,874.40 : x
  2. Step 2: Convert to fraction form
    202,447.90/303,890.55 = 113,874.40/x
  3. Step 3: Cross multiply
    202,447.90x = 303,890.55 × 113,874.40
  4. Step 4: Simplify right side
    202,447.90x = 34,605,354,046.92
  5. Step 5: Solve for x
    x = 34,605,354,046.92/202,447.90
  6. Step 6: Final answer
    x = 170,934.62

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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.