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Finding the Fourth Proportional to 133,774.32, 200,739.60 and 50,674.80

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Solution

The fourth proportional to 133,774.32, 200,739.60 and 50,674.80 is: 76,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,774.32 : 200,739.60 = 50,674.80 : x
  2. Step 2: Convert to fraction form
    133,774.32/200,739.60 = 50,674.80/x
  3. Step 3: Cross multiply
    133,774.32x = 200,739.60 × 50,674.80
  4. Step 4: Simplify right side
    133,774.32x = 10,172,439,082.08
  5. Step 5: Solve for x
    x = 10,172,439,082.08/133,774.32
  6. Step 6: Final answer
    x = 76,041.79

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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.