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Finding the Fourth Proportional to 195,190.88, 292,578.92 and 76,845.92

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Solution

The fourth proportional to 195,190.88, 292,578.92 and 76,845.92 is: 115,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,190.88 : 292,578.92 = 76,845.92 : x
  2. Step 2: Convert to fraction form
    195,190.88/292,578.92 = 76,845.92/x
  3. Step 3: Cross multiply
    195,190.88x = 292,578.92 × 76,845.92
  4. Step 4: Simplify right side
    195,190.88x = 22,483,496,280.01
  5. Step 5: Solve for x
    x = 22,483,496,280.01/195,190.88
  6. Step 6: Final answer
    x = 115,187.23

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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.