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Finding the Fourth Proportional to 201,284.18, 301,926.06 and 51,524.22

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Solution

The fourth proportional to 201,284.18, 301,926.06 and 51,524.22 is: 77,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,284.18 : 301,926.06 = 51,524.22 : x
  2. Step 2: Convert to fraction form
    201,284.18/301,926.06 = 51,524.22/x
  3. Step 3: Cross multiply
    201,284.18x = 301,926.06 × 51,524.22
  4. Step 4: Simplify right side
    201,284.18x = 15,556,504,739.17
  5. Step 5: Solve for x
    x = 15,556,504,739.17/201,284.18
  6. Step 6: Final answer
    x = 77,286.28

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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.