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Finding the Fourth Proportional to 206,261.78, 309,392.94 and 56,503.40

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Solution

The fourth proportional to 206,261.78, 309,392.94 and 56,503.40 is: 84,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,261.78 : 309,392.94 = 56,503.40 : x
  2. Step 2: Convert to fraction form
    206,261.78/309,392.94 = 56,503.40/x
  3. Step 3: Cross multiply
    206,261.78x = 309,392.94 × 56,503.40
  4. Step 4: Simplify right side
    206,261.78x = 17,481,753,046.00
  5. Step 5: Solve for x
    x = 17,481,753,046.00/206,261.78
  6. Step 6: Final answer
    x = 84,755.17

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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.