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Finding the Fourth Proportional to 231,398.95, 347,215.26 and 104,958.61

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Solution

The fourth proportional to 231,398.95, 347,215.26 and 104,958.61 is: 157,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,398.95 : 347,215.26 = 104,958.61 : x
  2. Step 2: Convert to fraction form
    231,398.95/347,215.26 = 104,958.61/x
  3. Step 3: Cross multiply
    231,398.95x = 347,215.26 × 104,958.61
  4. Step 4: Simplify right side
    231,398.95x = 36,443,230,972.10
  5. Step 5: Solve for x
    x = 36,443,230,972.10/231,398.95
  6. Step 6: Final answer
    x = 157,490.91

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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.