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Finding the Fourth Proportional to 189,144.32, 283,784.24 and 81,028.33

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Solution

The fourth proportional to 189,144.32, 283,784.24 and 81,028.33 is: 121,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,144.32 : 283,784.24 = 81,028.33 : x
  2. Step 2: Convert to fraction form
    189,144.32/283,784.24 = 81,028.33/x
  3. Step 3: Cross multiply
    189,144.32x = 283,784.24 × 81,028.33
  4. Step 4: Simplify right side
    189,144.32x = 22,994,562,642.38
  5. Step 5: Solve for x
    x = 22,994,562,642.38/189,144.32
  6. Step 6: Final answer
    x = 121,571.52

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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.