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Finding the Fourth Proportional to 211,777.44, 317,713.68 and 71,532.48

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Solution

The fourth proportional to 211,777.44, 317,713.68 and 71,532.48 is: 107,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777.44 : 317,713.68 = 71,532.48 : x
  2. Step 2: Convert to fraction form
    211,777.44/317,713.68 = 71,532.48/x
  3. Step 3: Cross multiply
    211,777.44x = 317,713.68 × 71,532.48
  4. Step 4: Simplify right side
    211,777.44x = 22,726,847,460.33
  5. Step 5: Solve for x
    x = 22,726,847,460.33/211,777.44
  6. Step 6: Final answer
    x = 107,314.77

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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.