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Finding the Fourth Proportional to 228,114, 342,190.12 and 84,059.04

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Solution

The fourth proportional to 228,114, 342,190.12 and 84,059.04 is: 126,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,114 : 342,190.12 = 84,059.04 : x
  2. Step 2: Convert to fraction form
    228,114/342,190.12 = 84,059.04/x
  3. Step 3: Cross multiply
    228,114x = 342,190.12 × 84,059.04
  4. Step 4: Simplify right side
    228,114x = 28,764,172,984.68
  5. Step 5: Solve for x
    x = 28,764,172,984.68/228,114
  6. Step 6: Final answer
    x = 126,095.61

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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.