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Finding the Fourth Proportional to 263,548.35, 363,692.30 and 142,688.66

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Solution

The fourth proportional to 263,548.35, 363,692.30 and 142,688.66 is: 196,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,548.35 : 363,692.30 = 142,688.66 : x
  2. Step 2: Convert to fraction form
    263,548.35/363,692.30 = 142,688.66/x
  3. Step 3: Cross multiply
    263,548.35x = 363,692.30 × 142,688.66
  4. Step 4: Simplify right side
    263,548.35x = 51,894,764,407.41
  5. Step 5: Solve for x
    x = 51,894,764,407.41/263,548.35
  6. Step 6: Final answer
    x = 196,907.95

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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.