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Finding the Fourth Proportional to 211,860.56, 317,786.72 and 85,497.44

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Solution

The fourth proportional to 211,860.56, 317,786.72 and 85,497.44 is: 128,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,860.56 : 317,786.72 = 85,497.44 : x
  2. Step 2: Convert to fraction form
    211,860.56/317,786.72 = 85,497.44/x
  3. Step 3: Cross multiply
    211,860.56x = 317,786.72 × 85,497.44
  4. Step 4: Simplify right side
    211,860.56x = 27,169,951,026.00
  5. Step 5: Solve for x
    x = 27,169,951,026.00/211,860.56
  6. Step 6: Final answer
    x = 128,244.50

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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.