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Finding the Fourth Proportional to 211,586.70, 317,169.81 and 106,083.66

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Solution

The fourth proportional to 211,586.70, 317,169.81 and 106,083.66 is: 159,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,586.70 : 317,169.81 = 106,083.66 : x
  2. Step 2: Convert to fraction form
    211,586.70/317,169.81 = 106,083.66/x
  3. Step 3: Cross multiply
    211,586.70x = 317,169.81 × 106,083.66
  4. Step 4: Simplify right side
    211,586.70x = 33,646,534,286.30
  5. Step 5: Solve for x
    x = 33,646,534,286.30/211,586.70
  6. Step 6: Final answer
    x = 159,020.08

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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.