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Finding the Fourth Proportional to 263,828, 364,105.68 and 144,619.04

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Solution

The fourth proportional to 263,828, 364,105.68 and 144,619.04 is: 199,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,828 : 364,105.68 = 144,619.04 : x
  2. Step 2: Convert to fraction form
    263,828/364,105.68 = 144,619.04/x
  3. Step 3: Cross multiply
    263,828x = 364,105.68 × 144,619.04
  4. Step 4: Simplify right side
    263,828x = 52,656,613,900.15
  5. Step 5: Solve for x
    x = 52,656,613,900.15/263,828
  6. Step 6: Final answer
    x = 199,586.90

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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.