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Finding the Fourth Proportional to 217,532.52, 326,361.96 and 77,302.08

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Solution

The fourth proportional to 217,532.52, 326,361.96 and 77,302.08 is: 115,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,532.52 : 326,361.96 = 77,302.08 : x
  2. Step 2: Convert to fraction form
    217,532.52/326,361.96 = 77,302.08/x
  3. Step 3: Cross multiply
    217,532.52x = 326,361.96 × 77,302.08
  4. Step 4: Simplify right side
    217,532.52x = 25,228,458,340.88
  5. Step 5: Solve for x
    x = 25,228,458,340.88/217,532.52
  6. Step 6: Final answer
    x = 115,975.57

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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.