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Finding the Fourth Proportional to 202,663.75, 304,057.14 and 107,877.80

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Solution

The fourth proportional to 202,663.75, 304,057.14 and 107,877.80 is: 161,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,663.75 : 304,057.14 = 107,877.80 : x
  2. Step 2: Convert to fraction form
    202,663.75/304,057.14 = 107,877.80/x
  3. Step 3: Cross multiply
    202,663.75x = 304,057.14 × 107,877.80
  4. Step 4: Simplify right side
    202,663.75x = 32,801,015,337.49
  5. Step 5: Solve for x
    x = 32,801,015,337.49/202,663.75
  6. Step 6: Final answer
    x = 161,849.44

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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.