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Finding the Fourth Proportional to 201,076.33, 301,614.33 and 51,316.61

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Solution

The fourth proportional to 201,076.33, 301,614.33 and 51,316.61 is: 76,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,076.33 : 301,614.33 = 51,316.61 : x
  2. Step 2: Convert to fraction form
    201,076.33/301,614.33 = 51,316.61/x
  3. Step 3: Cross multiply
    201,076.33x = 301,614.33 × 51,316.61
  4. Step 4: Simplify right side
    201,076.33x = 15,477,824,686.44
  5. Step 5: Solve for x
    x = 15,477,824,686.44/201,076.33
  6. Step 6: Final answer
    x = 76,974.87

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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.