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Finding the Fourth Proportional to 150,578.49, 207,794.72 and 82,594.86

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Solution

The fourth proportional to 150,578.49, 207,794.72 and 82,594.86 is: 113,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,578.49 : 207,794.72 = 82,594.86 : x
  2. Step 2: Convert to fraction form
    150,578.49/207,794.72 = 82,594.86/x
  3. Step 3: Cross multiply
    150,578.49x = 207,794.72 × 82,594.86
  4. Step 4: Simplify right side
    150,578.49x = 17,162,775,394.16
  5. Step 5: Solve for x
    x = 17,162,775,394.16/150,578.49
  6. Step 6: Final answer
    x = 113,978.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.