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Finding the Fourth Proportional to 269,034.24, 403,764.48 and 150,683.52

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Solution

The fourth proportional to 269,034.24, 403,764.48 and 150,683.52 is: 226,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,034.24 : 403,764.48 = 150,683.52 : x
  2. Step 2: Convert to fraction form
    269,034.24/403,764.48 = 150,683.52/x
  3. Step 3: Cross multiply
    269,034.24x = 403,764.48 × 150,683.52
  4. Step 4: Simplify right side
    269,034.24x = 60,840,653,097.37
  5. Step 5: Solve for x
    x = 60,840,653,097.37/269,034.24
  6. Step 6: Final answer
    x = 226,144.65

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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.