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Finding the Fourth Proportional to 299,892, 413,850.92 and 163,926.50

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Solution

The fourth proportional to 299,892, 413,850.92 and 163,926.50 is: 226,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,892 : 413,850.92 = 163,926.50 : x
  2. Step 2: Convert to fraction form
    299,892/413,850.92 = 163,926.50/x
  3. Step 3: Cross multiply
    299,892x = 413,850.92 × 163,926.50
  4. Step 4: Simplify right side
    299,892x = 67,841,129,948.49
  5. Step 5: Solve for x
    x = 67,841,129,948.49/299,892
  6. Step 6: Final answer
    x = 226,218.54

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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.