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Finding the Fourth Proportional to 222,083.64, 306,400.86 and 126,523.08

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Solution

The fourth proportional to 222,083.64, 306,400.86 and 126,523.08 is: 174,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,083.64 : 306,400.86 = 126,523.08 : x
  2. Step 2: Convert to fraction form
    222,083.64/306,400.86 = 126,523.08/x
  3. Step 3: Cross multiply
    222,083.64x = 306,400.86 × 126,523.08
  4. Step 4: Simplify right side
    222,083.64x = 38,766,780,521.85
  5. Step 5: Solve for x
    x = 38,766,780,521.85/222,083.64
  6. Step 6: Final answer
    x = 174,559.37

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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.