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Finding the Fourth Proportional to 306,755.91, 460,344.06 and 107,076.31

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Solution

The fourth proportional to 306,755.91, 460,344.06 and 107,076.31 is: 160,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,755.91 : 460,344.06 = 107,076.31 : x
  2. Step 2: Convert to fraction form
    306,755.91/460,344.06 = 107,076.31/x
  3. Step 3: Cross multiply
    306,755.91x = 460,344.06 × 107,076.31
  4. Step 4: Simplify right side
    306,755.91x = 49,291,942,124.36
  5. Step 5: Solve for x
    x = 49,291,942,124.36/306,755.91
  6. Step 6: Final answer
    x = 160,687.83

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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.