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Finding the Fourth Proportional to 231,774.52, 319,881.24 and 167,451.94

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Solution

The fourth proportional to 231,774.52, 319,881.24 and 167,451.94 is: 231,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774.52 : 319,881.24 = 167,451.94 : x
  2. Step 2: Convert to fraction form
    231,774.52/319,881.24 = 167,451.94/x
  3. Step 3: Cross multiply
    231,774.52x = 319,881.24 × 167,451.94
  4. Step 4: Simplify right side
    231,774.52x = 53,564,734,207.61
  5. Step 5: Solve for x
    x = 53,564,734,207.61/231,774.52
  6. Step 6: Final answer
    x = 231,107.09

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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.