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Finding the Fourth Proportional to 217,971.20, 326,713.80 and 84,807.20

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Solution

The fourth proportional to 217,971.20, 326,713.80 and 84,807.20 is: 127,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,971.20 : 326,713.80 = 84,807.20 : x
  2. Step 2: Convert to fraction form
    217,971.20/326,713.80 = 84,807.20/x
  3. Step 3: Cross multiply
    217,971.20x = 326,713.80 × 84,807.20
  4. Step 4: Simplify right side
    217,971.20x = 27,707,682,579.36
  5. Step 5: Solve for x
    x = 27,707,682,579.36/217,971.20
  6. Step 6: Final answer
    x = 127,116.25

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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.