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Finding the Fourth Proportional to 189,657.30, 261,716.58 and 109,086.18

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Solution

The fourth proportional to 189,657.30, 261,716.58 and 109,086.18 is: 150,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,657.30 : 261,716.58 = 109,086.18 : x
  2. Step 2: Convert to fraction form
    189,657.30/261,716.58 = 109,086.18/x
  3. Step 3: Cross multiply
    189,657.30x = 261,716.58 × 109,086.18
  4. Step 4: Simplify right side
    189,657.30x = 28,549,661,954.86
  5. Step 5: Solve for x
    x = 28,549,661,954.86/189,657.30
  6. Step 6: Final answer
    x = 150,532.89

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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.