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Finding the Fourth Proportional to 201,149.70, 301,724.55 and 198,039.30

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Solution

The fourth proportional to 201,149.70, 301,724.55 and 198,039.30 is: 297,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149.70 : 301,724.55 = 198,039.30 : x
  2. Step 2: Convert to fraction form
    201,149.70/301,724.55 = 198,039.30/x
  3. Step 3: Cross multiply
    201,149.70x = 301,724.55 × 198,039.30
  4. Step 4: Simplify right side
    201,149.70x = 59,753,318,674.82
  5. Step 5: Solve for x
    x = 59,753,318,674.82/201,149.70
  6. Step 6: Final answer
    x = 297,058.95

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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.