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Finding the Fourth Proportional to 207,093.86, 310,234.82 and 107,319.50

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Solution

The fourth proportional to 207,093.86, 310,234.82 and 107,319.50 is: 160,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,093.86 : 310,234.82 = 107,319.50 : x
  2. Step 2: Convert to fraction form
    207,093.86/310,234.82 = 107,319.50/x
  3. Step 3: Cross multiply
    207,093.86x = 310,234.82 × 107,319.50
  4. Step 4: Simplify right side
    207,093.86x = 33,294,245,228.39
  5. Step 5: Solve for x
    x = 33,294,245,228.39/207,093.86
  6. Step 6: Final answer
    x = 160,768.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.