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Finding the Fourth Proportional to 361,150.64, 541,947.39 and 161,639.74

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Solution

The fourth proportional to 361,150.64, 541,947.39 and 161,639.74 is: 242,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,150.64 : 541,947.39 = 161,639.74 : x
  2. Step 2: Convert to fraction form
    361,150.64/541,947.39 = 161,639.74/x
  3. Step 3: Cross multiply
    361,150.64x = 541,947.39 × 161,639.74
  4. Step 4: Simplify right side
    361,150.64x = 87,600,235,213.28
  5. Step 5: Solve for x
    x = 87,600,235,213.28/361,150.64
  6. Step 6: Final answer
    x = 242,558.72

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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.