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Finding the Fourth Proportional to 263,759.95, 363,988.24 and 142,904.31

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Solution

The fourth proportional to 263,759.95, 363,988.24 and 142,904.31 is: 197,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,759.95 : 363,988.24 = 142,904.31 : x
  2. Step 2: Convert to fraction form
    263,759.95/363,988.24 = 142,904.31/x
  3. Step 3: Cross multiply
    263,759.95x = 363,988.24 × 142,904.31
  4. Step 4: Simplify right side
    263,759.95x = 52,015,488,285.31
  5. Step 5: Solve for x
    x = 52,015,488,285.31/263,759.95
  6. Step 6: Final answer
    x = 197,207.68

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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.