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Finding the Fourth Proportional to 200,982.88, 277,335.36 and 116,127.28

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Solution

The fourth proportional to 200,982.88, 277,335.36 and 116,127.28 is: 160,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982.88 : 277,335.36 = 116,127.28 : x
  2. Step 2: Convert to fraction form
    200,982.88/277,335.36 = 116,127.28/x
  3. Step 3: Cross multiply
    200,982.88x = 277,335.36 × 116,127.28
  4. Step 4: Simplify right side
    200,982.88x = 32,206,201,004.62
  5. Step 5: Solve for x
    x = 32,206,201,004.62/200,982.88
  6. Step 6: Final answer
    x = 160,243.50

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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.