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Finding the Fourth Proportional to 228,558.58, 343,059 and 110,313.16

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Solution

The fourth proportional to 228,558.58, 343,059 and 110,313.16 is: 165,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,558.58 : 343,059 = 110,313.16 : x
  2. Step 2: Convert to fraction form
    228,558.58/343,059 = 110,313.16/x
  3. Step 3: Cross multiply
    228,558.58x = 343,059 × 110,313.16
  4. Step 4: Simplify right side
    228,558.58x = 37,843,922,356.44
  5. Step 5: Solve for x
    x = 37,843,922,356.44/228,558.58
  6. Step 6: Final answer
    x = 165,576.47

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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.