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Finding the Fourth Proportional to 180,617.41, 270,847.60 and 96,358.78

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Solution

The fourth proportional to 180,617.41, 270,847.60 and 96,358.78 is: 144,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,617.41 : 270,847.60 = 96,358.78 : x
  2. Step 2: Convert to fraction form
    180,617.41/270,847.60 = 96,358.78/x
  3. Step 3: Cross multiply
    180,617.41x = 270,847.60 × 96,358.78
  4. Step 4: Simplify right side
    180,617.41x = 26,098,544,399.59
  5. Step 5: Solve for x
    x = 26,098,544,399.59/180,617.41
  6. Step 6: Final answer
    x = 144,496.28

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1.5x scale

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.