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Finding the Fourth Proportional to 201,229.84, 301,844.60 and 51,470.40

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Solution

The fourth proportional to 201,229.84, 301,844.60 and 51,470.40 is: 77,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.84 : 301,844.60 = 51,470.40 : x
  2. Step 2: Convert to fraction form
    201,229.84/301,844.60 = 51,470.40/x
  3. Step 3: Cross multiply
    201,229.84x = 301,844.60 × 51,470.40
  4. Step 4: Simplify right side
    201,229.84x = 15,536,062,299.84
  5. Step 5: Solve for x
    x = 15,536,062,299.84/201,229.84
  6. Step 6: Final answer
    x = 77,205.56

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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.