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Finding the Fourth Proportional to 180,613.86, 270,842.24 and 96,355.23

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Solution

The fourth proportional to 180,613.86, 270,842.24 and 96,355.23 is: 144,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,613.86 : 270,842.24 = 96,355.23 : x
  2. Step 2: Convert to fraction form
    180,613.86/270,842.24 = 96,355.23/x
  3. Step 3: Cross multiply
    180,613.86x = 270,842.24 × 96,355.23
  4. Step 4: Simplify right side
    180,613.86x = 26,097,065,847.14
  5. Step 5: Solve for x
    x = 26,097,065,847.14/180,613.86
  6. Step 6: Final answer
    x = 144,490.94

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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.