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Finding the Fourth Proportional to 102,202.74, 141,008.03 and 57,993.09

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Solution

The fourth proportional to 102,202.74, 141,008.03 and 57,993.09 is: 80,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202.74 : 141,008.03 = 57,993.09 : x
  2. Step 2: Convert to fraction form
    102,202.74/141,008.03 = 57,993.09/x
  3. Step 3: Cross multiply
    102,202.74x = 141,008.03 × 57,993.09
  4. Step 4: Simplify right side
    102,202.74x = 8,177,490,773.24
  5. Step 5: Solve for x
    x = 8,177,490,773.24/102,202.74
  6. Step 6: Final answer
    x = 80,012.44

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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.