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Finding the Fourth Proportional to 203,708.86, 281,116.15 and 113,065.61

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Solution

The fourth proportional to 203,708.86, 281,116.15 and 113,065.61 is: 156,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,708.86 : 281,116.15 = 113,065.61 : x
  2. Step 2: Convert to fraction form
    203,708.86/281,116.15 = 113,065.61/x
  3. Step 3: Cross multiply
    203,708.86x = 281,116.15 × 113,065.61
  4. Step 4: Simplify right side
    203,708.86x = 31,784,567,292.36
  5. Step 5: Solve for x
    x = 31,784,567,292.36/203,708.86
  6. Step 6: Final answer
    x = 156,029.38

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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.