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Finding the Fourth Proportional to 211,342.56, 317,062.44 and 69,192.42

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Solution

The fourth proportional to 211,342.56, 317,062.44 and 69,192.42 is: 103,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,342.56 : 317,062.44 = 69,192.42 : x
  2. Step 2: Convert to fraction form
    211,342.56/317,062.44 = 69,192.42/x
  3. Step 3: Cross multiply
    211,342.56x = 317,062.44 × 69,192.42
  4. Step 4: Simplify right side
    211,342.56x = 21,938,317,514.70
  5. Step 5: Solve for x
    x = 21,938,317,514.70/211,342.56
  6. Step 6: Final answer
    x = 103,804.54

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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.