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Finding the Fourth Proportional to 102,997.83, 142,141.03 and 57,675.39

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Solution

The fourth proportional to 102,997.83, 142,141.03 and 57,675.39 is: 79,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,997.83 : 142,141.03 = 57,675.39 : x
  2. Step 2: Convert to fraction form
    102,997.83/142,141.03 = 57,675.39/x
  3. Step 3: Cross multiply
    102,997.83x = 142,141.03 × 57,675.39
  4. Step 4: Simplify right side
    102,997.83x = 8,198,039,462.58
  5. Step 5: Solve for x
    x = 8,198,039,462.58/102,997.83
  6. Step 6: Final answer
    x = 79,594.29

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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.