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Finding the Fourth Proportional to 133,710.40, 200,560.47 and 33,874.12

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Solution

The fourth proportional to 133,710.40, 200,560.47 and 33,874.12 is: 50,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.40 : 200,560.47 = 33,874.12 : x
  2. Step 2: Convert to fraction form
    133,710.40/200,560.47 = 33,874.12/x
  3. Step 3: Cross multiply
    133,710.40x = 200,560.47 × 33,874.12
  4. Step 4: Simplify right side
    133,710.40x = 6,793,809,428.04
  5. Step 5: Solve for x
    x = 6,793,809,428.04/133,710.40
  6. Step 6: Final answer
    x = 50,809.88

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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.