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Finding the Fourth Proportional to 263,801.17, 364,064.09 and 149,090.42

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Solution

The fourth proportional to 263,801.17, 364,064.09 and 149,090.42 is: 205,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,801.17 : 364,064.09 = 149,090.42 : x
  2. Step 2: Convert to fraction form
    263,801.17/364,064.09 = 149,090.42/x
  3. Step 3: Cross multiply
    263,801.17x = 364,064.09 × 149,090.42
  4. Step 4: Simplify right side
    263,801.17x = 54,278,468,085.02
  5. Step 5: Solve for x
    x = 54,278,468,085.02/263,801.17
  6. Step 6: Final answer
    x = 205,755.22

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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.