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Finding the Fourth Proportional to 133,908.52, 200,863.96 and 34,068.80

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Solution

The fourth proportional to 133,908.52, 200,863.96 and 34,068.80 is: 51,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,908.52 : 200,863.96 = 34,068.80 : x
  2. Step 2: Convert to fraction form
    133,908.52/200,863.96 = 34,068.80/x
  3. Step 3: Cross multiply
    133,908.52x = 200,863.96 × 34,068.80
  4. Step 4: Simplify right side
    133,908.52x = 6,843,194,080.45
  5. Step 5: Solve for x
    x = 6,843,194,080.45/133,908.52
  6. Step 6: Final answer
    x = 51,103.50

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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.