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Finding the Fourth Proportional to 263,840, 364,099.20 and 144,605.44

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Solution

The fourth proportional to 263,840, 364,099.20 and 144,605.44 is: 199,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,840 : 364,099.20 = 144,605.44 : x
  2. Step 2: Convert to fraction form
    263,840/364,099.20 = 144,605.44/x
  3. Step 3: Cross multiply
    263,840x = 364,099.20 × 144,605.44
  4. Step 4: Simplify right side
    263,840x = 52,650,725,019.65
  5. Step 5: Solve for x
    x = 52,650,725,019.65/263,840
  6. Step 6: Final answer
    x = 199,555.51

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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.