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Finding the Fourth Proportional to 263,964.24, 364,266.18 and 149,241

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Solution

The fourth proportional to 263,964.24, 364,266.18 and 149,241 is: 205,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,964.24 : 364,266.18 = 149,241 : x
  2. Step 2: Convert to fraction form
    263,964.24/364,266.18 = 149,241/x
  3. Step 3: Cross multiply
    263,964.24x = 364,266.18 × 149,241
  4. Step 4: Simplify right side
    263,964.24x = 54,363,448,969.38
  5. Step 5: Solve for x
    x = 54,363,448,969.38/263,964.24
  6. Step 6: Final answer
    x = 205,950.05

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Why These Related Problems?

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