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Finding the Fourth Proportional to 213,906.17, 295,194.50 and 123,246.82

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Solution

The fourth proportional to 213,906.17, 295,194.50 and 123,246.82 is: 170,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906.17 : 295,194.50 = 123,246.82 : x
  2. Step 2: Convert to fraction form
    213,906.17/295,194.50 = 123,246.82/x
  3. Step 3: Cross multiply
    213,906.17x = 295,194.50 × 123,246.82
  4. Step 4: Simplify right side
    213,906.17x = 36,381,783,406.49
  5. Step 5: Solve for x
    x = 36,381,783,406.49/213,906.17
  6. Step 6: Final answer
    x = 170,082.91

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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.