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Finding the Fourth Proportional to 151,874.42, 207,765.28 and 151,234.73

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Solution

The fourth proportional to 151,874.42, 207,765.28 and 151,234.73 is: 206,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,874.42 : 207,765.28 = 151,234.73 : x
  2. Step 2: Convert to fraction form
    151,874.42/207,765.28 = 151,234.73/x
  3. Step 3: Cross multiply
    151,874.42x = 207,765.28 × 151,234.73
  4. Step 4: Simplify right side
    151,874.42x = 31,421,324,985.35
  5. Step 5: Solve for x
    x = 31,421,324,985.35/151,874.42
  6. Step 6: Final answer
    x = 206,890.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.