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Finding the Fourth Proportional to 198,058.40, 297,351.28 and 115,012

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Solution

The fourth proportional to 198,058.40, 297,351.28 and 115,012 is: 172,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,058.40 : 297,351.28 = 115,012 : x
  2. Step 2: Convert to fraction form
    198,058.40/297,351.28 = 115,012/x
  3. Step 3: Cross multiply
    198,058.40x = 297,351.28 × 115,012
  4. Step 4: Simplify right side
    198,058.40x = 34,198,965,415.36
  5. Step 5: Solve for x
    x = 34,198,965,415.36/198,058.40
  6. Step 6: Final answer
    x = 172,671.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.