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Finding the Fourth Proportional to 217,825.94, 326,612.04 and 84,550.50

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Solution

The fourth proportional to 217,825.94, 326,612.04 and 84,550.50 is: 126,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,825.94 : 326,612.04 = 84,550.50 : x
  2. Step 2: Convert to fraction form
    217,825.94/326,612.04 = 84,550.50/x
  3. Step 3: Cross multiply
    217,825.94x = 326,612.04 × 84,550.50
  4. Step 4: Simplify right side
    217,825.94x = 27,615,211,288.02
  5. Step 5: Solve for x
    x = 27,615,211,288.02/217,825.94
  6. Step 6: Final answer
    x = 126,776.50

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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.