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Finding the Fourth Proportional to 211,193.96, 317,689.92 and 191,441.64

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Solution

The fourth proportional to 211,193.96, 317,689.92 and 191,441.64 is: 287,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,193.96 : 317,689.92 = 191,441.64 : x
  2. Step 2: Convert to fraction form
    211,193.96/317,689.92 = 191,441.64/x
  3. Step 3: Cross multiply
    211,193.96x = 317,689.92 × 191,441.64
  4. Step 4: Simplify right side
    211,193.96x = 60,819,079,296.27
  5. Step 5: Solve for x
    x = 60,819,079,296.27/211,193.96
  6. Step 6: Final answer
    x = 287,977.37

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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.