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Finding the Fourth Proportional to 654,169.36, 981,272.50 and 180,854.68

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Solution

The fourth proportional to 654,169.36, 981,272.50 and 180,854.68 is: 271,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,169.36 : 981,272.50 = 180,854.68 : x
  2. Step 2: Convert to fraction form
    654,169.36/981,272.50 = 180,854.68/x
  3. Step 3: Cross multiply
    654,169.36x = 981,272.50 × 180,854.68
  4. Step 4: Simplify right side
    654,169.36x = 177,467,723,980.30
  5. Step 5: Solve for x
    x = 177,467,723,980.30/654,169.36
  6. Step 6: Final answer
    x = 271,287.12

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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.