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Finding the Fourth Proportional to 181,400.80, 250,322.38 and 100,825.56

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Solution

The fourth proportional to 181,400.80, 250,322.38 and 100,825.56 is: 139,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,400.80 : 250,322.38 = 100,825.56 : x
  2. Step 2: Convert to fraction form
    181,400.80/250,322.38 = 100,825.56/x
  3. Step 3: Cross multiply
    181,400.80x = 250,322.38 × 100,825.56
  4. Step 4: Simplify right side
    181,400.80x = 25,238,894,144.03
  5. Step 5: Solve for x
    x = 25,238,894,144.03/181,400.80
  6. Step 6: Final answer
    x = 139,133.31

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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.