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Finding the Fourth Proportional to 267,058.25, 368,540.39 and 147,826.25

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Solution

The fourth proportional to 267,058.25, 368,540.39 and 147,826.25 is: 204,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,058.25 : 368,540.39 = 147,826.25 : x
  2. Step 2: Convert to fraction form
    267,058.25/368,540.39 = 147,826.25/x
  3. Step 3: Cross multiply
    267,058.25x = 368,540.39 × 147,826.25
  4. Step 4: Simplify right side
    267,058.25x = 54,479,943,088.11
  5. Step 5: Solve for x
    x = 54,479,943,088.11/267,058.25
  6. Step 6: Final answer
    x = 204,000.23

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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.