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Finding the Fourth Proportional to 189,471.96, 283,969.94 and 94,728.52

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Solution

The fourth proportional to 189,471.96, 283,969.94 and 94,728.52 is: 141,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,471.96 : 283,969.94 = 94,728.52 : x
  2. Step 2: Convert to fraction form
    189,471.96/283,969.94 = 94,728.52/x
  3. Step 3: Cross multiply
    189,471.96x = 283,969.94 × 94,728.52
  4. Step 4: Simplify right side
    189,471.96x = 26,900,052,022.01
  5. Step 5: Solve for x
    x = 26,900,052,022.01/189,471.96
  6. Step 6: Final answer
    x = 141,973.79

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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.