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Finding the Fourth Proportional to 211,471.79, 317,202.41 and 61,713.37

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Solution

The fourth proportional to 211,471.79, 317,202.41 and 61,713.37 is: 92,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471.79 : 317,202.41 = 61,713.37 : x
  2. Step 2: Convert to fraction form
    211,471.79/317,202.41 = 61,713.37/x
  3. Step 3: Cross multiply
    211,471.79x = 317,202.41 × 61,713.37
  4. Step 4: Simplify right side
    211,471.79x = 19,575,629,384.65
  5. Step 5: Solve for x
    x = 19,575,629,384.65/211,471.79
  6. Step 6: Final answer
    x = 92,568.51

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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.