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Finding the Fourth Proportional to 204,385.54, 306,578.44 and 97,744.30

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Solution

The fourth proportional to 204,385.54, 306,578.44 and 97,744.30 is: 146,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,385.54 : 306,578.44 = 97,744.30 : x
  2. Step 2: Convert to fraction form
    204,385.54/306,578.44 = 97,744.30/x
  3. Step 3: Cross multiply
    204,385.54x = 306,578.44 × 97,744.30
  4. Step 4: Simplify right side
    204,385.54x = 29,966,295,012.89
  5. Step 5: Solve for x
    x = 29,966,295,012.89/204,385.54
  6. Step 6: Final answer
    x = 146,616.51

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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.