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Finding the Fourth Proportional to 195,142.60, 292,768.98 and 54,902.44

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Solution

The fourth proportional to 195,142.60, 292,768.98 and 54,902.44 is: 82,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,142.60 : 292,768.98 = 54,902.44 : x
  2. Step 2: Convert to fraction form
    195,142.60/292,768.98 = 54,902.44/x
  3. Step 3: Cross multiply
    195,142.60x = 292,768.98 × 54,902.44
  4. Step 4: Simplify right side
    195,142.60x = 16,073,731,358.31
  5. Step 5: Solve for x
    x = 16,073,731,358.31/195,142.60
  6. Step 6: Final answer
    x = 82,369.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.