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Finding the Fourth Proportional to 189,657.49, 261,716.84 and 109,086.37

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Solution

The fourth proportional to 189,657.49, 261,716.84 and 109,086.37 is: 150,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,657.49 : 261,716.84 = 109,086.37 : x
  2. Step 2: Convert to fraction form
    189,657.49/261,716.84 = 109,086.37/x
  3. Step 3: Cross multiply
    189,657.49x = 261,716.84 × 109,086.37
  4. Step 4: Simplify right side
    189,657.49x = 28,549,739,498.04
  5. Step 5: Solve for x
    x = 28,549,739,498.04/189,657.49
  6. Step 6: Final answer
    x = 150,533.15

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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.