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Finding the Fourth Proportional to 201,333.62, 301,737.99 and 82,885.70

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Solution

The fourth proportional to 201,333.62, 301,737.99 and 82,885.70 is: 124,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,333.62 : 301,737.99 = 82,885.70 : x
  2. Step 2: Convert to fraction form
    201,333.62/301,737.99 = 82,885.70/x
  3. Step 3: Cross multiply
    201,333.62x = 301,737.99 × 82,885.70
  4. Step 4: Simplify right side
    201,333.62x = 25,009,764,517.74
  5. Step 5: Solve for x
    x = 25,009,764,517.74/201,333.62
  6. Step 6: Final answer
    x = 124,220.51

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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.