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Finding the Fourth Proportional to 133,482.98, 200,222.11 and 33,640.94

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Solution

The fourth proportional to 133,482.98, 200,222.11 and 33,640.94 is: 50,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,482.98 : 200,222.11 = 33,640.94 : x
  2. Step 2: Convert to fraction form
    133,482.98/200,222.11 = 33,640.94/x
  3. Step 3: Cross multiply
    133,482.98x = 200,222.11 × 33,640.94
  4. Step 4: Simplify right side
    133,482.98x = 6,735,659,989.18
  5. Step 5: Solve for x
    x = 6,735,659,989.18/133,482.98
  6. Step 6: Final answer
    x = 50,460.82

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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.