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Finding the Fourth Proportional to 202,877.38, 304,446.63 and 109,447.62

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Solution

The fourth proportional to 202,877.38, 304,446.63 and 109,447.62 is: 164,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,877.38 : 304,446.63 = 109,447.62 : x
  2. Step 2: Convert to fraction form
    202,877.38/304,446.63 = 109,447.62/x
  3. Step 3: Cross multiply
    202,877.38x = 304,446.63 × 109,447.62
  4. Step 4: Simplify right side
    202,877.38x = 33,320,959,070.52
  5. Step 5: Solve for x
    x = 33,320,959,070.52/202,877.38
  6. Step 6: Final answer
    x = 164,241.86

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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.