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Finding the Fourth Proportional to 267,058, 368,540.04 and 147,826

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Solution

The fourth proportional to 267,058, 368,540.04 and 147,826 is: 203,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,058 : 368,540.04 = 147,826 : x
  2. Step 2: Convert to fraction form
    267,058/368,540.04 = 147,826/x
  3. Step 3: Cross multiply
    267,058x = 368,540.04 × 147,826
  4. Step 4: Simplify right side
    267,058x = 54,479,799,953.04
  5. Step 5: Solve for x
    x = 54,479,799,953.04/267,058
  6. Step 6: Final answer
    x = 203,999.88

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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.