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Finding the Fourth Proportional to 263,882, 364,180.20 and 144,673.04

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Solution

The fourth proportional to 263,882, 364,180.20 and 144,673.04 is: 199,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,882 : 364,180.20 = 144,673.04 : x
  2. Step 2: Convert to fraction form
    263,882/364,180.20 = 144,673.04/x
  3. Step 3: Cross multiply
    263,882x = 364,180.20 × 144,673.04
  4. Step 4: Simplify right side
    263,882x = 52,687,056,641.81
  5. Step 5: Solve for x
    x = 52,687,056,641.81/263,882
  6. Step 6: Final answer
    x = 199,661.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.