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Finding the Fourth Proportional to 211,843.38, 317,776.01 and 54,073.20

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Solution

The fourth proportional to 211,843.38, 317,776.01 and 54,073.20 is: 81,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,843.38 : 317,776.01 = 54,073.20 : x
  2. Step 2: Convert to fraction form
    211,843.38/317,776.01 = 54,073.20/x
  3. Step 3: Cross multiply
    211,843.38x = 317,776.01 × 54,073.20
  4. Step 4: Simplify right side
    211,843.38x = 17,183,166,969.39
  5. Step 5: Solve for x
    x = 17,183,166,969.39/211,843.38
  6. Step 6: Final answer
    x = 81,112.60

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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.