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Finding the Fourth Proportional to 211,814.34, 317,794.42 and 132,836.10

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Solution

The fourth proportional to 211,814.34, 317,794.42 and 132,836.10 is: 199,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,814.34 : 317,794.42 = 132,836.10 : x
  2. Step 2: Convert to fraction form
    211,814.34/317,794.42 = 132,836.10/x
  3. Step 3: Cross multiply
    211,814.34x = 317,794.42 × 132,836.10
  4. Step 4: Simplify right side
    211,814.34x = 42,214,571,354.56
  5. Step 5: Solve for x
    x = 42,214,571,354.56/211,814.34
  6. Step 6: Final answer
    x = 199,299.87

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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.