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Finding the Fourth Proportional to 189,778.81, 261,913.88 and 109,209.73

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Solution

The fourth proportional to 189,778.81, 261,913.88 and 109,209.73 is: 150,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.81 : 261,913.88 = 109,209.73 : x
  2. Step 2: Convert to fraction form
    189,778.81/261,913.88 = 109,209.73/x
  3. Step 3: Cross multiply
    189,778.81x = 261,913.88 × 109,209.73
  4. Step 4: Simplify right side
    189,778.81x = 28,603,544,118.05
  5. Step 5: Solve for x
    x = 28,603,544,118.05/189,778.81
  6. Step 6: Final answer
    x = 150,720.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.