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Finding the Fourth Proportional to 133,651.76, 200,500.72 and 44,913.84

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Solution

The fourth proportional to 133,651.76, 200,500.72 and 44,913.84 is: 67,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.76 : 200,500.72 = 44,913.84 : x
  2. Step 2: Convert to fraction form
    133,651.76/200,500.72 = 44,913.84/x
  3. Step 3: Cross multiply
    133,651.76x = 200,500.72 × 44,913.84
  4. Step 4: Simplify right side
    133,651.76x = 9,005,257,257.96
  5. Step 5: Solve for x
    x = 9,005,257,257.96/133,651.76
  6. Step 6: Final answer
    x = 67,378.52

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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.