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Finding the Fourth Proportional to 174,792.78, 262,276.68 and 80,022.78

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Solution

The fourth proportional to 174,792.78, 262,276.68 and 80,022.78 is: 120,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,792.78 : 262,276.68 = 80,022.78 : x
  2. Step 2: Convert to fraction form
    174,792.78/262,276.68 = 80,022.78/x
  3. Step 3: Cross multiply
    174,792.78x = 262,276.68 × 80,022.78
  4. Step 4: Simplify right side
    174,792.78x = 20,988,109,062.77
  5. Step 5: Solve for x
    x = 20,988,109,062.77/174,792.78
  6. Step 6: Final answer
    x = 120,074.23

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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.