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Finding the Fourth Proportional to 200,861.80, 301,294.42 and 51,102.22

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Solution

The fourth proportional to 200,861.80, 301,294.42 and 51,102.22 is: 76,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,861.80 : 301,294.42 = 51,102.22 : x
  2. Step 2: Convert to fraction form
    200,861.80/301,294.42 = 51,102.22/x
  3. Step 3: Cross multiply
    200,861.80x = 301,294.42 × 51,102.22
  4. Step 4: Simplify right side
    200,861.80x = 15,396,813,735.61
  5. Step 5: Solve for x
    x = 15,396,813,735.61/200,861.80
  6. Step 6: Final answer
    x = 76,653.77

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1.5x scale

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.