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Finding the Fourth Proportional to 204,404.51, 306,657.87 and 201,014.12

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Solution

The fourth proportional to 204,404.51, 306,657.87 and 201,014.12 is: 301,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,404.51 : 306,657.87 = 201,014.12 : x
  2. Step 2: Convert to fraction form
    204,404.51/306,657.87 = 201,014.12/x
  3. Step 3: Cross multiply
    204,404.51x = 306,657.87 × 201,014.12
  4. Step 4: Simplify right side
    204,404.51x = 61,642,561,891.97
  5. Step 5: Solve for x
    x = 61,642,561,891.97/204,404.51
  6. Step 6: Final answer
    x = 301,571.43

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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.