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Finding the Fourth Proportional to 133,450.46, 200,047.08 and 49,164.54

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Solution

The fourth proportional to 133,450.46, 200,047.08 and 49,164.54 is: 73,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,450.46 : 200,047.08 = 49,164.54 : x
  2. Step 2: Convert to fraction form
    133,450.46/200,047.08 = 49,164.54/x
  3. Step 3: Cross multiply
    133,450.46x = 200,047.08 × 49,164.54
  4. Step 4: Simplify right side
    133,450.46x = 9,835,222,666.54
  5. Step 5: Solve for x
    x = 9,835,222,666.54/133,450.46
  6. Step 6: Final answer
    x = 73,699.43

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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.