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Finding the Fourth Proportional to 263,742.16, 363,964.33 and 142,884.28

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Solution

The fourth proportional to 263,742.16, 363,964.33 and 142,884.28 is: 197,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,742.16 : 363,964.33 = 142,884.28 : x
  2. Step 2: Convert to fraction form
    263,742.16/363,964.33 = 142,884.28/x
  3. Step 3: Cross multiply
    263,742.16x = 363,964.33 × 142,884.28
  4. Step 4: Simplify right side
    263,742.16x = 52,004,781,237.73
  5. Step 5: Solve for x
    x = 52,004,781,237.73/263,742.16
  6. Step 6: Final answer
    x = 197,180.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.