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Finding the Fourth Proportional to 275,809.24, 413,737.61 and 76,129.66

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Solution

The fourth proportional to 275,809.24, 413,737.61 and 76,129.66 is: 114,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,809.24 : 413,737.61 = 76,129.66 : x
  2. Step 2: Convert to fraction form
    275,809.24/413,737.61 = 76,129.66/x
  3. Step 3: Cross multiply
    275,809.24x = 413,737.61 × 76,129.66
  4. Step 4: Simplify right side
    275,809.24x = 31,497,703,578.51
  5. Step 5: Solve for x
    x = 31,497,703,578.51/275,809.24
  6. Step 6: Final answer
    x = 114,201.05

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