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Finding the Fourth Proportional to 200,959.92, 277,328.34 and 110,324.43

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Solution

The fourth proportional to 200,959.92, 277,328.34 and 110,324.43 is: 152,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,959.92 : 277,328.34 = 110,324.43 : x
  2. Step 2: Convert to fraction form
    200,959.92/277,328.34 = 110,324.43/x
  3. Step 3: Cross multiply
    200,959.92x = 277,328.34 × 110,324.43
  4. Step 4: Simplify right side
    200,959.92x = 30,596,091,033.35
  5. Step 5: Solve for x
    x = 30,596,091,033.35/200,959.92
  6. Step 6: Final answer
    x = 152,249.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.