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Finding the Fourth Proportional to 200,873.34, 277,195.86 and 110,227.05

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Solution

The fourth proportional to 200,873.34, 277,195.86 and 110,227.05 is: 152,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.34 : 277,195.86 = 110,227.05 : x
  2. Step 2: Convert to fraction form
    200,873.34/277,195.86 = 110,227.05/x
  3. Step 3: Cross multiply
    200,873.34x = 277,195.86 × 110,227.05
  4. Step 4: Simplify right side
    200,873.34x = 30,554,481,920.01
  5. Step 5: Solve for x
    x = 30,554,481,920.01/200,873.34
  6. Step 6: Final answer
    x = 152,108.20

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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.