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Finding the Fourth Proportional to 204,061.98, 306,092.52 and 54,302.28

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Solution

The fourth proportional to 204,061.98, 306,092.52 and 54,302.28 is: 81,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,061.98 : 306,092.52 = 54,302.28 : x
  2. Step 2: Convert to fraction form
    204,061.98/306,092.52 = 54,302.28/x
  3. Step 3: Cross multiply
    204,061.98x = 306,092.52 × 54,302.28
  4. Step 4: Simplify right side
    204,061.98x = 16,621,521,726.95
  5. Step 5: Solve for x
    x = 16,621,521,726.95/204,061.98
  6. Step 6: Final answer
    x = 81,453.30

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Why These Related Problems?

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