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Finding the Fourth Proportional to 180,454.65, 270,719.34 and 54,089.79

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Solution

The fourth proportional to 180,454.65, 270,719.34 and 54,089.79 is: 81,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,454.65 : 270,719.34 = 54,089.79 : x
  2. Step 2: Convert to fraction form
    180,454.65/270,719.34 = 54,089.79/x
  3. Step 3: Cross multiply
    180,454.65x = 270,719.34 × 54,089.79
  4. Step 4: Simplify right side
    180,454.65x = 14,643,152,249.54
  5. Step 5: Solve for x
    x = 14,643,152,249.54/180,454.65
  6. Step 6: Final answer
    x = 81,145.88

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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.