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Finding the Fourth Proportional to 189,191.64, 261,086.24 and 104,311.76

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Solution

The fourth proportional to 189,191.64, 261,086.24 and 104,311.76 is: 143,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,191.64 : 261,086.24 = 104,311.76 : x
  2. Step 2: Convert to fraction form
    189,191.64/261,086.24 = 104,311.76/x
  3. Step 3: Cross multiply
    189,191.64x = 261,086.24 × 104,311.76
  4. Step 4: Simplify right side
    189,191.64x = 27,234,365,206.18
  5. Step 5: Solve for x
    x = 27,234,365,206.18/189,191.64
  6. Step 6: Final answer
    x = 143,951.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.