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Finding the Fourth Proportional to 228,313.21, 342,414.42 and 95,120.80

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Solution

The fourth proportional to 228,313.21, 342,414.42 and 95,120.80 is: 142,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,313.21 : 342,414.42 = 95,120.80 : x
  2. Step 2: Convert to fraction form
    228,313.21/342,414.42 = 95,120.80/x
  3. Step 3: Cross multiply
    228,313.21x = 342,414.42 × 95,120.80
  4. Step 4: Simplify right side
    228,313.21x = 32,570,733,561.94
  5. Step 5: Solve for x
    x = 32,570,733,561.94/228,313.21
  6. Step 6: Final answer
    x = 142,658.12

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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.