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Finding the Fourth Proportional to 202,384.70, 303,412.17 and 75,953.90

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Solution

The fourth proportional to 202,384.70, 303,412.17 and 75,953.90 is: 113,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384.70 : 303,412.17 = 75,953.90 : x
  2. Step 2: Convert to fraction form
    202,384.70/303,412.17 = 75,953.90/x
  3. Step 3: Cross multiply
    202,384.70x = 303,412.17 × 75,953.90
  4. Step 4: Simplify right side
    202,384.70x = 23,045,337,618.96
  5. Step 5: Solve for x
    x = 23,045,337,618.96/202,384.70
  6. Step 6: Final answer
    x = 113,868.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.