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Finding the Fourth Proportional to 200,908.26, 277,253.94 and 110,264.94

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Solution

The fourth proportional to 200,908.26, 277,253.94 and 110,264.94 is: 152,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.26 : 277,253.94 = 110,264.94 : x
  2. Step 2: Convert to fraction form
    200,908.26/277,253.94 = 110,264.94/x
  3. Step 3: Cross multiply
    200,908.26x = 277,253.94 × 110,264.94
  4. Step 4: Simplify right side
    200,908.26x = 30,571,389,058.86
  5. Step 5: Solve for x
    x = 30,571,389,058.86/200,908.26
  6. Step 6: Final answer
    x = 152,165.91

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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.