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Finding the Fourth Proportional to 211,529.40, 317,294.10 and 202,198.20

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Solution

The fourth proportional to 211,529.40, 317,294.10 and 202,198.20 is: 303,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,529.40 : 317,294.10 = 202,198.20 : x
  2. Step 2: Convert to fraction form
    211,529.40/317,294.10 = 202,198.20/x
  3. Step 3: Cross multiply
    211,529.40x = 317,294.10 × 202,198.20
  4. Step 4: Simplify right side
    211,529.40x = 64,156,295,890.62
  5. Step 5: Solve for x
    x = 64,156,295,890.62/211,529.40
  6. Step 6: Final answer
    x = 303,297.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.