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Finding the Fourth Proportional to 140,965.50, 194,514.51 and 77,286.54

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Solution

The fourth proportional to 140,965.50, 194,514.51 and 77,286.54 is: 106,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,965.50 : 194,514.51 = 77,286.54 : x
  2. Step 2: Convert to fraction form
    140,965.50/194,514.51 = 77,286.54/x
  3. Step 3: Cross multiply
    140,965.50x = 194,514.51 × 77,286.54
  4. Step 4: Simplify right side
    140,965.50x = 15,033,353,457.70
  5. Step 5: Solve for x
    x = 15,033,353,457.70/140,965.50
  6. Step 6: Final answer
    x = 106,645.62

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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.