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Finding the Fourth Proportional to 217,826.94, 326,613.54 and 84,551.50

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Solution

The fourth proportional to 217,826.94, 326,613.54 and 84,551.50 is: 126,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,826.94 : 326,613.54 = 84,551.50 : x
  2. Step 2: Convert to fraction form
    217,826.94/326,613.54 = 84,551.50/x
  3. Step 3: Cross multiply
    217,826.94x = 326,613.54 × 84,551.50
  4. Step 4: Simplify right side
    217,826.94x = 27,615,664,727.31
  5. Step 5: Solve for x
    x = 27,615,664,727.31/217,826.94
  6. Step 6: Final answer
    x = 126,778.00

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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.