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Finding the Fourth Proportional to 217,706.52, 326,310.02 and 91,323.40

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Solution

The fourth proportional to 217,706.52, 326,310.02 and 91,323.40 is: 136,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706.52 : 326,310.02 = 91,323.40 : x
  2. Step 2: Convert to fraction form
    217,706.52/326,310.02 = 91,323.40/x
  3. Step 3: Cross multiply
    217,706.52x = 326,310.02 × 91,323.40
  4. Step 4: Simplify right side
    217,706.52x = 29,799,740,480.47
  5. Step 5: Solve for x
    x = 29,799,740,480.47/217,706.52
  6. Step 6: Final answer
    x = 136,880.33

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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.