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Finding the Fourth Proportional to 228,945.60, 343,321.20 and 110,653.20

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Solution

The fourth proportional to 228,945.60, 343,321.20 and 110,653.20 is: 165,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,945.60 : 343,321.20 = 110,653.20 : x
  2. Step 2: Convert to fraction form
    228,945.60/343,321.20 = 110,653.20/x
  3. Step 3: Cross multiply
    228,945.60x = 343,321.20 × 110,653.20
  4. Step 4: Simplify right side
    228,945.60x = 37,989,589,407.84
  5. Step 5: Solve for x
    x = 37,989,589,407.84/228,945.60
  6. Step 6: Final answer
    x = 165,932.82

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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.