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Finding the Fourth Proportional to 200,905.71, 277,253.31 and 110,270.13

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Solution

The fourth proportional to 200,905.71, 277,253.31 and 110,270.13 is: 152,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.71 : 277,253.31 = 110,270.13 : x
  2. Step 2: Convert to fraction form
    200,905.71/277,253.31 = 110,270.13/x
  3. Step 3: Cross multiply
    200,905.71x = 277,253.31 × 110,270.13
  4. Step 4: Simplify right side
    200,905.71x = 30,572,757,910.44
  5. Step 5: Solve for x
    x = 30,572,757,910.44/200,905.71
  6. Step 6: Final answer
    x = 152,174.66

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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.