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Finding the Fourth Proportional to 189,158.40, 283,789.44 and 149,846.40

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Solution

The fourth proportional to 189,158.40, 283,789.44 and 149,846.40 is: 224,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,158.40 : 283,789.44 = 149,846.40 : x
  2. Step 2: Convert to fraction form
    189,158.40/283,789.44 = 149,846.40/x
  3. Step 3: Cross multiply
    189,158.40x = 283,789.44 × 149,846.40
  4. Step 4: Simplify right side
    189,158.40x = 42,524,825,942.02
  5. Step 5: Solve for x
    x = 42,524,825,942.02/189,158.40
  6. Step 6: Final answer
    x = 224,810.67

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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.