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Finding the Fourth Proportional to 133,776.30, 200,664 and 33,936.24

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Solution

The fourth proportional to 133,776.30, 200,664 and 33,936.24 is: 50,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776.30 : 200,664 = 33,936.24 : x
  2. Step 2: Convert to fraction form
    133,776.30/200,664 = 33,936.24/x
  3. Step 3: Cross multiply
    133,776.30x = 200,664 × 33,936.24
  4. Step 4: Simplify right side
    133,776.30x = 6,809,781,663.36
  5. Step 5: Solve for x
    x = 6,809,781,663.36/133,776.30
  6. Step 6: Final answer
    x = 50,904.25

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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.