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Finding the Fourth Proportional to 201,076.26, 301,614.12 and 51,316.55

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Solution

The fourth proportional to 201,076.26, 301,614.12 and 51,316.55 is: 76,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,076.26 : 301,614.12 = 51,316.55 : x
  2. Step 2: Convert to fraction form
    201,076.26/301,614.12 = 51,316.55/x
  3. Step 3: Cross multiply
    201,076.26x = 301,614.12 × 51,316.55
  4. Step 4: Simplify right side
    201,076.26x = 15,477,796,069.69
  5. Step 5: Solve for x
    x = 15,477,796,069.69/201,076.26
  6. Step 6: Final answer
    x = 76,974.76

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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.