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Finding the Fourth Proportional to 202,652.61, 303,932.70 and 76,306.18

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Solution

The fourth proportional to 202,652.61, 303,932.70 and 76,306.18 is: 114,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652.61 : 303,932.70 = 76,306.18 : x
  2. Step 2: Convert to fraction form
    202,652.61/303,932.70 = 76,306.18/x
  3. Step 3: Cross multiply
    202,652.61x = 303,932.70 × 76,306.18
  4. Step 4: Simplify right side
    202,652.61x = 23,191,942,932.56
  5. Step 5: Solve for x
    x = 23,191,942,932.56/202,652.61
  6. Step 6: Final answer
    x = 114,441.87

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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.