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Finding the Fourth Proportional to 263,597.54, 363,763.95 and 142,738.82

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Solution

The fourth proportional to 263,597.54, 363,763.95 and 142,738.82 is: 196,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,597.54 : 363,763.95 = 142,738.82 : x
  2. Step 2: Convert to fraction form
    263,597.54/363,763.95 = 142,738.82/x
  3. Step 3: Cross multiply
    263,597.54x = 363,763.95 × 142,738.82
  4. Step 4: Simplify right side
    263,597.54x = 51,923,237,105.29
  5. Step 5: Solve for x
    x = 51,923,237,105.29/263,597.54
  6. Step 6: Final answer
    x = 196,979.22

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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.