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Finding the Fourth Proportional to 202,660.87, 304,052.82 and 107,874.93

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Solution

The fourth proportional to 202,660.87, 304,052.82 and 107,874.93 is: 161,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,660.87 : 304,052.82 = 107,874.93 : x
  2. Step 2: Convert to fraction form
    202,660.87/304,052.82 = 107,874.93/x
  3. Step 3: Cross multiply
    202,660.87x = 304,052.82 × 107,874.93
  4. Step 4: Simplify right side
    202,660.87x = 32,799,676,673.80
  5. Step 5: Solve for x
    x = 32,799,676,673.80/202,660.87
  6. Step 6: Final answer
    x = 161,845.14

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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.