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Finding the Fourth Proportional to 211,367.67, 317,062.64 and 53,597.49

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Solution

The fourth proportional to 211,367.67, 317,062.64 and 53,597.49 is: 80,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,367.67 : 317,062.64 = 53,597.49 : x
  2. Step 2: Convert to fraction form
    211,367.67/317,062.64 = 53,597.49/x
  3. Step 3: Cross multiply
    211,367.67x = 317,062.64 × 53,597.49
  4. Step 4: Simplify right side
    211,367.67x = 16,993,761,676.77
  5. Step 5: Solve for x
    x = 16,993,761,676.77/211,367.67
  6. Step 6: Final answer
    x = 80,399.06

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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.