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Finding the Fourth Proportional to 263,668.96, 363,860.96 and 142,807.44

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Solution

The fourth proportional to 263,668.96, 363,860.96 and 142,807.44 is: 197,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,668.96 : 363,860.96 = 142,807.44 : x
  2. Step 2: Convert to fraction form
    263,668.96/363,860.96 = 142,807.44/x
  3. Step 3: Cross multiply
    263,668.96x = 363,860.96 × 142,807.44
  4. Step 4: Simplify right side
    263,668.96x = 51,962,052,213.54
  5. Step 5: Solve for x
    x = 51,962,052,213.54/263,668.96
  6. Step 6: Final answer
    x = 197,073.07

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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.