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Finding the Fourth Proportional to 189,039.96, 283,585.86 and 83,856.60

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Solution

The fourth proportional to 189,039.96, 283,585.86 and 83,856.60 is: 125,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,039.96 : 283,585.86 = 83,856.60 : x
  2. Step 2: Convert to fraction form
    189,039.96/283,585.86 = 83,856.60/x
  3. Step 3: Cross multiply
    189,039.96x = 283,585.86 × 83,856.60
  4. Step 4: Simplify right side
    189,039.96x = 23,780,546,027.68
  5. Step 5: Solve for x
    x = 23,780,546,027.68/189,039.96
  6. Step 6: Final answer
    x = 125,796.40

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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.