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Finding the Fourth Proportional to 133,658.30, 200,361.86 and 44,849.52

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Solution

The fourth proportional to 133,658.30, 200,361.86 and 44,849.52 is: 67,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,658.30 : 200,361.86 = 44,849.52 : x
  2. Step 2: Convert to fraction form
    133,658.30/200,361.86 = 44,849.52/x
  3. Step 3: Cross multiply
    133,658.30x = 200,361.86 × 44,849.52
  4. Step 4: Simplify right side
    133,658.30x = 8,986,133,023.06
  5. Step 5: Solve for x
    x = 8,986,133,023.06/133,658.30
  6. Step 6: Final answer
    x = 67,232.14

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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.