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Finding the Fourth Proportional to 211,296.53, 317,047.31 and 92,952.49

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Solution

The fourth proportional to 211,296.53, 317,047.31 and 92,952.49 is: 139,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296.53 : 317,047.31 = 92,952.49 : x
  2. Step 2: Convert to fraction form
    211,296.53/317,047.31 = 92,952.49/x
  3. Step 3: Cross multiply
    211,296.53x = 317,047.31 × 92,952.49
  4. Step 4: Simplify right side
    211,296.53x = 29,470,336,447.54
  5. Step 5: Solve for x
    x = 29,470,336,447.54/211,296.53
  6. Step 6: Final answer
    x = 139,473.83

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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.