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Finding the Fourth Proportional to 218,107.20, 326,917.80 and 84,943.20

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Solution

The fourth proportional to 218,107.20, 326,917.80 and 84,943.20 is: 127,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.20 : 326,917.80 = 84,943.20 : x
  2. Step 2: Convert to fraction form
    218,107.20/326,917.80 = 84,943.20/x
  3. Step 3: Cross multiply
    218,107.20x = 326,917.80 × 84,943.20
  4. Step 4: Simplify right side
    218,107.20x = 27,769,444,068.96
  5. Step 5: Solve for x
    x = 27,769,444,068.96/218,107.20
  6. Step 6: Final answer
    x = 127,320.16

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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.