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Finding the Fourth Proportional to 210,523.88, 290,523.04 and 113,727.78

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Solution

The fourth proportional to 210,523.88, 290,523.04 and 113,727.78 is: 156,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,523.88 : 290,523.04 = 113,727.78 : x
  2. Step 2: Convert to fraction form
    210,523.88/290,523.04 = 113,727.78/x
  3. Step 3: Cross multiply
    210,523.88x = 290,523.04 × 113,727.78
  4. Step 4: Simplify right side
    210,523.88x = 33,040,540,378.05
  5. Step 5: Solve for x
    x = 33,040,540,378.05/210,523.88
  6. Step 6: Final answer
    x = 156,944.38

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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.