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Finding the Fourth Proportional to 133,441.98, 200,154.33 and 50,333.82

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Solution

The fourth proportional to 133,441.98, 200,154.33 and 50,333.82 is: 75,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,441.98 : 200,154.33 = 50,333.82 : x
  2. Step 2: Convert to fraction form
    133,441.98/200,154.33 = 50,333.82/x
  3. Step 3: Cross multiply
    133,441.98x = 200,154.33 × 50,333.82
  4. Step 4: Simplify right side
    133,441.98x = 10,074,532,018.44
  5. Step 5: Solve for x
    x = 10,074,532,018.44/133,441.98
  6. Step 6: Final answer
    x = 75,497.47

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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.