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Finding the Fourth Proportional to 202,883.20, 303,923.85 and 177,951.40

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Solution

The fourth proportional to 202,883.20, 303,923.85 and 177,951.40 is: 266,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.20 : 303,923.85 = 177,951.40 : x
  2. Step 2: Convert to fraction form
    202,883.20/303,923.85 = 177,951.40/x
  3. Step 3: Cross multiply
    202,883.20x = 303,923.85 × 177,951.40
  4. Step 4: Simplify right side
    202,883.20x = 54,083,674,600.89
  5. Step 5: Solve for x
    x = 54,083,674,600.89/202,883.20
  6. Step 6: Final answer
    x = 266,575.42

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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.