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Finding the Fourth Proportional to 102,103.98, 140,882.84 and 59,654.32

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Solution

The fourth proportional to 102,103.98, 140,882.84 and 59,654.32 is: 82,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.98 : 140,882.84 = 59,654.32 : x
  2. Step 2: Convert to fraction form
    102,103.98/140,882.84 = 59,654.32/x
  3. Step 3: Cross multiply
    102,103.98x = 140,882.84 × 59,654.32
  4. Step 4: Simplify right side
    102,103.98x = 8,404,270,019.87
  5. Step 5: Solve for x
    x = 8,404,270,019.87/102,103.98
  6. Step 6: Final answer
    x = 82,310.90

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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.