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Finding the Fourth Proportional to 117,398.92, 176,077.89 and 54,213.66

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Solution

The fourth proportional to 117,398.92, 176,077.89 and 54,213.66 is: 81,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,398.92 : 176,077.89 = 54,213.66 : x
  2. Step 2: Convert to fraction form
    117,398.92/176,077.89 = 54,213.66/x
  3. Step 3: Cross multiply
    117,398.92x = 176,077.89 × 54,213.66
  4. Step 4: Simplify right side
    117,398.92x = 9,545,826,861.98
  5. Step 5: Solve for x
    x = 9,545,826,861.98/117,398.92
  6. Step 6: Final answer
    x = 81,311.03

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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.