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Finding the Fourth Proportional to 228,961.72, 315,969.78 and 126,989.20

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Solution

The fourth proportional to 228,961.72, 315,969.78 and 126,989.20 is: 175,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,961.72 : 315,969.78 = 126,989.20 : x
  2. Step 2: Convert to fraction form
    228,961.72/315,969.78 = 126,989.20/x
  3. Step 3: Cross multiply
    228,961.72x = 315,969.78 × 126,989.20
  4. Step 4: Simplify right side
    228,961.72x = 40,124,749,586.38
  5. Step 5: Solve for x
    x = 40,124,749,586.38/228,961.72
  6. Step 6: Final answer
    x = 175,246.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.