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Finding the Fourth Proportional to 133,589.42, 200,384.13 and 33,749.90

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Solution

The fourth proportional to 133,589.42, 200,384.13 and 33,749.90 is: 50,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,589.42 : 200,384.13 = 33,749.90 : x
  2. Step 2: Convert to fraction form
    133,589.42/200,384.13 = 33,749.90/x
  3. Step 3: Cross multiply
    133,589.42x = 200,384.13 × 33,749.90
  4. Step 4: Simplify right side
    133,589.42x = 6,762,944,225.17
  5. Step 5: Solve for x
    x = 6,762,944,225.17/133,589.42
  6. Step 6: Final answer
    x = 50,624.85

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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.