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Finding the Fourth Proportional to 233,794.44, 322,658.10 and 133,173

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Solution

The fourth proportional to 233,794.44, 322,658.10 and 133,173 is: 183,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,794.44 : 322,658.10 = 133,173 : x
  2. Step 2: Convert to fraction form
    233,794.44/322,658.10 = 133,173/x
  3. Step 3: Cross multiply
    233,794.44x = 322,658.10 × 133,173
  4. Step 4: Simplify right side
    233,794.44x = 42,969,347,151.30
  5. Step 5: Solve for x
    x = 42,969,347,151.30/233,794.44
  6. Step 6: Final answer
    x = 183,791.14

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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.