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Finding the Fourth Proportional to 200,747.40, 301,121.10 and 82,503.60

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Solution

The fourth proportional to 200,747.40, 301,121.10 and 82,503.60 is: 123,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.40 : 301,121.10 = 82,503.60 : x
  2. Step 2: Convert to fraction form
    200,747.40/301,121.10 = 82,503.60/x
  3. Step 3: Cross multiply
    200,747.40x = 301,121.10 × 82,503.60
  4. Step 4: Simplify right side
    200,747.40x = 24,843,574,785.96
  5. Step 5: Solve for x
    x = 24,843,574,785.96/200,747.40
  6. Step 6: Final answer
    x = 123,755.40

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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.