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Finding the Fourth Proportional to 102,198.27, 141,048.53 and 61,365.16

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Solution

The fourth proportional to 102,198.27, 141,048.53 and 61,365.16 is: 84,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.27 : 141,048.53 = 61,365.16 : x
  2. Step 2: Convert to fraction form
    102,198.27/141,048.53 = 61,365.16/x
  3. Step 3: Cross multiply
    102,198.27x = 141,048.53 × 61,365.16
  4. Step 4: Simplify right side
    102,198.27x = 8,655,465,611.21
  5. Step 5: Solve for x
    x = 8,655,465,611.21/102,198.27
  6. Step 6: Final answer
    x = 84,692.88

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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.