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Finding the Fourth Proportional to 192,041.80, 265,142.52 and 171,864

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Solution

The fourth proportional to 192,041.80, 265,142.52 and 171,864 is: 237,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,041.80 : 265,142.52 = 171,864 : x
  2. Step 2: Convert to fraction form
    192,041.80/265,142.52 = 171,864/x
  3. Step 3: Cross multiply
    192,041.80x = 265,142.52 × 171,864
  4. Step 4: Simplify right side
    192,041.80x = 45,568,454,057.28
  5. Step 5: Solve for x
    x = 45,568,454,057.28/192,041.80
  6. Step 6: Final answer
    x = 237,284.04

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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.