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Finding the Fourth Proportional to 205,422.30, 308,133.45 and 182,612.70

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Solution

The fourth proportional to 205,422.30, 308,133.45 and 182,612.70 is: 273,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.30 : 308,133.45 = 182,612.70 : x
  2. Step 2: Convert to fraction form
    205,422.30/308,133.45 = 182,612.70/x
  3. Step 3: Cross multiply
    205,422.30x = 308,133.45 × 182,612.70
  4. Step 4: Simplify right side
    205,422.30x = 56,269,081,264.82
  5. Step 5: Solve for x
    x = 56,269,081,264.82/205,422.30
  6. Step 6: Final answer
    x = 273,919.05

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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.