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Finding the Fourth Proportional to 102,346.68, 141,236.73 and 57,027.90

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Solution

The fourth proportional to 102,346.68, 141,236.73 and 57,027.90 is: 78,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346.68 : 141,236.73 = 57,027.90 : x
  2. Step 2: Convert to fraction form
    102,346.68/141,236.73 = 57,027.90/x
  3. Step 3: Cross multiply
    102,346.68x = 141,236.73 × 57,027.90
  4. Step 4: Simplify right side
    102,346.68x = 8,054,434,114.77
  5. Step 5: Solve for x
    x = 8,054,434,114.77/102,346.68
  6. Step 6: Final answer
    x = 78,697.56

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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.