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Finding the Fourth Proportional to 195,734.88, 270,114.24 and 106,310.88

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Solution

The fourth proportional to 195,734.88, 270,114.24 and 106,310.88 is: 146,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,734.88 : 270,114.24 = 106,310.88 : x
  2. Step 2: Convert to fraction form
    195,734.88/270,114.24 = 106,310.88/x
  3. Step 3: Cross multiply
    195,734.88x = 270,114.24 × 106,310.88
  4. Step 4: Simplify right side
    195,734.88x = 28,716,082,554.93
  5. Step 5: Solve for x
    x = 28,716,082,554.93/195,734.88
  6. Step 6: Final answer
    x = 146,709.07

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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.