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Finding the Fourth Proportional to 80,194.66, 110,649.82 and 54,754.00

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Solution

The fourth proportional to 80,194.66, 110,649.82 and 54,754.00 is: 75,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,194.66 : 110,649.82 = 54,754.00 : x
  2. Step 2: Convert to fraction form
    80,194.66/110,649.82 = 54,754.00/x
  3. Step 3: Cross multiply
    80,194.66x = 110,649.82 × 54,754.00
  4. Step 4: Simplify right side
    80,194.66x = 6,058,520,398.63
  5. Step 5: Solve for x
    x = 6,058,520,398.63/80,194.66
  6. Step 6: Final answer
    x = 75,547.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.