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Finding the Fourth Proportional to 189,295.20, 283,942.80 and 161,150.40

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Solution

The fourth proportional to 189,295.20, 283,942.80 and 161,150.40 is: 241,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,295.20 : 283,942.80 = 161,150.40 : x
  2. Step 2: Convert to fraction form
    189,295.20/283,942.80 = 161,150.40/x
  3. Step 3: Cross multiply
    189,295.20x = 283,942.80 × 161,150.40
  4. Step 4: Simplify right side
    189,295.20x = 45,757,495,797.12
  5. Step 5: Solve for x
    x = 45,757,495,797.12/189,295.20
  6. Step 6: Final answer
    x = 241,725.60

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1.5x scale

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.