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Finding the Fourth Proportional to 200,836.98, 277,157.97 and 114,813.90

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Solution

The fourth proportional to 200,836.98, 277,157.97 and 114,813.90 is: 158,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,836.98 : 277,157.97 = 114,813.90 : x
  2. Step 2: Convert to fraction form
    200,836.98/277,157.97 = 114,813.90/x
  3. Step 3: Cross multiply
    200,836.98x = 277,157.97 × 114,813.90
  4. Step 4: Simplify right side
    200,836.98x = 31,821,587,451.78
  5. Step 5: Solve for x
    x = 31,821,587,451.78/200,836.98
  6. Step 6: Final answer
    x = 158,444.86

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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.