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Finding the Fourth Proportional to 180,382.80, 270,278.66 and 96,053.42

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Solution

The fourth proportional to 180,382.80, 270,278.66 and 96,053.42 is: 143,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,382.80 : 270,278.66 = 96,053.42 : x
  2. Step 2: Convert to fraction form
    180,382.80/270,278.66 = 96,053.42/x
  3. Step 3: Cross multiply
    180,382.80x = 270,278.66 × 96,053.42
  4. Step 4: Simplify right side
    180,382.80x = 25,961,189,646.02
  5. Step 5: Solve for x
    x = 25,961,189,646.02/180,382.80
  6. Step 6: Final answer
    x = 143,922.76

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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.