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Finding the Fourth Proportional to 202,788, 304,182 and 55,044

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Solution

The fourth proportional to 202,788, 304,182 and 55,044 is: 82,566

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,788 : 304,182 = 55,044 : x
  2. Step 2: Convert to fraction form
    202,788/304,182 = 55,044/x
  3. Step 3: Cross multiply
    202,788x = 304,182 × 55,044
  4. Step 4: Simplify right side
    202,788x = 16,743,394,008
  5. Step 5: Solve for x
    x = 16,743,394,008/202,788
  6. Step 6: Final answer
    x = 82,566

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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.