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Finding the Fourth Proportional to 228,593.10, 342,912.22 and 78,813.70

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Solution

The fourth proportional to 228,593.10, 342,912.22 and 78,813.70 is: 118,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,593.10 : 342,912.22 = 78,813.70 : x
  2. Step 2: Convert to fraction form
    228,593.10/342,912.22 = 78,813.70/x
  3. Step 3: Cross multiply
    228,593.10x = 342,912.22 × 78,813.70
  4. Step 4: Simplify right side
    228,593.10x = 27,026,180,833.41
  5. Step 5: Solve for x
    x = 27,026,180,833.41/228,593.10
  6. Step 6: Final answer
    x = 118,228.33

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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.