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Finding the Fourth Proportional to 135,874.49, 202,896.76 and 110,963.96

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Solution

The fourth proportional to 135,874.49, 202,896.76 and 110,963.96 is: 165,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,874.49 : 202,896.76 = 110,963.96 : x
  2. Step 2: Convert to fraction form
    135,874.49/202,896.76 = 110,963.96/x
  3. Step 3: Cross multiply
    135,874.49x = 202,896.76 × 110,963.96
  4. Step 4: Simplify right side
    135,874.49x = 22,514,226,946.29
  5. Step 5: Solve for x
    x = 22,514,226,946.29/135,874.49
  6. Step 6: Final answer
    x = 165,698.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.