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Finding the Fourth Proportional to 114,219.87, 157,638.11 and 68,922.30

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Solution

The fourth proportional to 114,219.87, 157,638.11 and 68,922.30 is: 95,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,219.87 : 157,638.11 = 68,922.30 : x
  2. Step 2: Convert to fraction form
    114,219.87/157,638.11 = 68,922.30/x
  3. Step 3: Cross multiply
    114,219.87x = 157,638.11 × 68,922.30
  4. Step 4: Simplify right side
    114,219.87x = 10,864,781,108.85
  5. Step 5: Solve for x
    x = 10,864,781,108.85/114,219.87
  6. Step 6: Final answer
    x = 95,121.64

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1.5x scale

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.