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Finding the Fourth Proportional to 206,475.20, 309,712.80 and 183,924.80

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Solution

The fourth proportional to 206,475.20, 309,712.80 and 183,924.80 is: 275,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,475.20 : 309,712.80 = 183,924.80 : x
  2. Step 2: Convert to fraction form
    206,475.20/309,712.80 = 183,924.80/x
  3. Step 3: Cross multiply
    206,475.20x = 309,712.80 × 183,924.80
  4. Step 4: Simplify right side
    206,475.20x = 56,963,864,797.44
  5. Step 5: Solve for x
    x = 56,963,864,797.44/206,475.20
  6. Step 6: Final answer
    x = 275,887.20

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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.