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Finding the Fourth Proportional to 211,850.91, 317,775.83 and 133,020.50

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Solution

The fourth proportional to 211,850.91, 317,775.83 and 133,020.50 is: 199,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,850.91 : 317,775.83 = 133,020.50 : x
  2. Step 2: Convert to fraction form
    211,850.91/317,775.83 = 133,020.50/x
  3. Step 3: Cross multiply
    211,850.91x = 317,775.83 × 133,020.50
  4. Step 4: Simplify right side
    211,850.91x = 42,270,697,540.53
  5. Step 5: Solve for x
    x = 42,270,697,540.53/211,850.91
  6. Step 6: Final answer
    x = 199,530.40

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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.