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Finding the Fourth Proportional to 263,291.54, 363,340.68 and 142,432.34

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Solution

The fourth proportional to 263,291.54, 363,340.68 and 142,432.34 is: 196,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,291.54 : 363,340.68 = 142,432.34 : x
  2. Step 2: Convert to fraction form
    263,291.54/363,340.68 = 142,432.34/x
  3. Step 3: Cross multiply
    263,291.54x = 363,340.68 × 142,432.34
  4. Step 4: Simplify right side
    263,291.54x = 51,751,463,269.59
  5. Step 5: Solve for x
    x = 51,751,463,269.59/263,291.54
  6. Step 6: Final answer
    x = 196,555.74

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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.