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Finding the Fourth Proportional to 263,589.64, 363,756.72 and 142,733.68

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Solution

The fourth proportional to 263,589.64, 363,756.72 and 142,733.68 is: 196,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,589.64 : 363,756.72 = 142,733.68 : x
  2. Step 2: Convert to fraction form
    263,589.64/363,756.72 = 142,733.68/x
  3. Step 3: Cross multiply
    263,589.64x = 363,756.72 × 142,733.68
  4. Step 4: Simplify right side
    263,589.64x = 51,920,335,270.33
  5. Step 5: Solve for x
    x = 51,920,335,270.33/263,589.64
  6. Step 6: Final answer
    x = 196,974.11

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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.