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Finding the Fourth Proportional to 102,105.57, 140,885 and 59,655.90

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Solution

The fourth proportional to 102,105.57, 140,885 and 59,655.90 is: 82,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,105.57 : 140,885 = 59,655.90 : x
  2. Step 2: Convert to fraction form
    102,105.57/140,885 = 59,655.90/x
  3. Step 3: Cross multiply
    102,105.57x = 140,885 × 59,655.90
  4. Step 4: Simplify right side
    102,105.57x = 8,404,621,471.50
  5. Step 5: Solve for x
    x = 8,404,621,471.50/102,105.57
  6. Step 6: Final answer
    x = 82,313.06

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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.