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Finding the Fourth Proportional to 201,207.90, 301,811.85 and 82,839.90

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Solution

The fourth proportional to 201,207.90, 301,811.85 and 82,839.90 is: 124,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,207.90 : 301,811.85 = 82,839.90 : x
  2. Step 2: Convert to fraction form
    201,207.90/301,811.85 = 82,839.90/x
  3. Step 3: Cross multiply
    201,207.90x = 301,811.85 × 82,839.90
  4. Step 4: Simplify right side
    201,207.90x = 25,002,063,472.82
  5. Step 5: Solve for x
    x = 25,002,063,472.82/201,207.90
  6. Step 6: Final answer
    x = 124,259.85

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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.