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Finding the Fourth Proportional to 204,961.65, 305,404.86 and 182,603.22

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Solution

The fourth proportional to 204,961.65, 305,404.86 and 182,603.22 is: 272,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,961.65 : 305,404.86 = 182,603.22 : x
  2. Step 2: Convert to fraction form
    204,961.65/305,404.86 = 182,603.22/x
  3. Step 3: Cross multiply
    204,961.65x = 305,404.86 × 182,603.22
  4. Step 4: Simplify right side
    204,961.65x = 55,767,910,839.65
  5. Step 5: Solve for x
    x = 55,767,910,839.65/204,961.65
  6. Step 6: Final answer
    x = 272,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.