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Finding the Fourth Proportional to 206,642.84, 285,093.78 and 135,064.20

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Solution

The fourth proportional to 206,642.84, 285,093.78 and 135,064.20 is: 186,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.84 : 285,093.78 = 135,064.20 : x
  2. Step 2: Convert to fraction form
    206,642.84/285,093.78 = 135,064.20/x
  3. Step 3: Cross multiply
    206,642.84x = 285,093.78 × 135,064.20
  4. Step 4: Simplify right side
    206,642.84x = 38,505,963,320.68
  5. Step 5: Solve for x
    x = 38,505,963,320.68/206,642.84
  6. Step 6: Final answer
    x = 186,340.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.