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Finding the Fourth Proportional to 182,441.92, 273,662.88 and 145,739.20

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Solution

The fourth proportional to 182,441.92, 273,662.88 and 145,739.20 is: 218,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,441.92 : 273,662.88 = 145,739.20 : x
  2. Step 2: Convert to fraction form
    182,441.92/273,662.88 = 145,739.20/x
  3. Step 3: Cross multiply
    182,441.92x = 273,662.88 × 145,739.20
  4. Step 4: Simplify right side
    182,441.92x = 39,883,409,200.90
  5. Step 5: Solve for x
    x = 39,883,409,200.90/182,441.92
  6. Step 6: Final answer
    x = 218,608.80

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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.