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Finding the Fourth Proportional to 180,451.65, 270,714.84 and 54,086.79

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Solution

The fourth proportional to 180,451.65, 270,714.84 and 54,086.79 is: 81,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,451.65 : 270,714.84 = 54,086.79 : x
  2. Step 2: Convert to fraction form
    180,451.65/270,714.84 = 54,086.79/x
  3. Step 3: Cross multiply
    180,451.65x = 270,714.84 × 54,086.79
  4. Step 4: Simplify right side
    180,451.65x = 14,642,096,700.96
  5. Step 5: Solve for x
    x = 14,642,096,700.96/180,451.65
  6. Step 6: Final answer
    x = 81,141.38

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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.