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Finding the Fourth Proportional to 205,892.20, 308,579.10 and 182,564.20

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Solution

The fourth proportional to 205,892.20, 308,579.10 and 182,564.20 is: 273,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,892.20 : 308,579.10 = 182,564.20 : x
  2. Step 2: Convert to fraction form
    205,892.20/308,579.10 = 182,564.20/x
  3. Step 3: Cross multiply
    205,892.20x = 308,579.10 × 182,564.20
  4. Step 4: Simplify right side
    205,892.20x = 56,335,496,528.22
  5. Step 5: Solve for x
    x = 56,335,496,528.22/205,892.20
  6. Step 6: Final answer
    x = 273,616.47

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1.5x scale

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.