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Finding the Fourth Proportional to 133,670.14, 200,515.05 and 44,923

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Solution

The fourth proportional to 133,670.14, 200,515.05 and 44,923 is: 67,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,670.14 : 200,515.05 = 44,923 : x
  2. Step 2: Convert to fraction form
    133,670.14/200,515.05 = 44,923/x
  3. Step 3: Cross multiply
    133,670.14x = 200,515.05 × 44,923
  4. Step 4: Simplify right side
    133,670.14x = 9,007,737,591.15
  5. Step 5: Solve for x
    x = 9,007,737,591.15/133,670.14
  6. Step 6: Final answer
    x = 67,387.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.