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Finding the Fourth Proportional to 263,543.41, 363,690.11 and 142,684.78

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Solution

The fourth proportional to 263,543.41, 363,690.11 and 142,684.78 is: 196,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,543.41 : 363,690.11 = 142,684.78 : x
  2. Step 2: Convert to fraction form
    263,543.41/363,690.11 = 142,684.78/x
  3. Step 3: Cross multiply
    263,543.41x = 363,690.11 × 142,684.78
  4. Step 4: Simplify right side
    263,543.41x = 51,893,043,333.53
  5. Step 5: Solve for x
    x = 51,893,043,333.53/263,543.41
  6. Step 6: Final answer
    x = 196,905.11

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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.