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Finding the Fourth Proportional to 200,859.82, 277,177.23 and 110,213.53

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Solution

The fourth proportional to 200,859.82, 277,177.23 and 110,213.53 is: 152,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,859.82 : 277,177.23 = 110,213.53 : x
  2. Step 2: Convert to fraction form
    200,859.82/277,177.23 = 110,213.53/x
  3. Step 3: Cross multiply
    200,859.82x = 277,177.23 × 110,213.53
  4. Step 4: Simplify right side
    200,859.82x = 30,548,680,260.98
  5. Step 5: Solve for x
    x = 30,548,680,260.98/200,859.82
  6. Step 6: Final answer
    x = 152,089.56

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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.