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Finding the Fourth Proportional to 135,961.96, 203,942.96 and 42,475

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Solution

The fourth proportional to 135,961.96, 203,942.96 and 42,475 is: 63,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961.96 : 203,942.96 = 42,475 : x
  2. Step 2: Convert to fraction form
    135,961.96/203,942.96 = 42,475/x
  3. Step 3: Cross multiply
    135,961.96x = 203,942.96 × 42,475
  4. Step 4: Simplify right side
    135,961.96x = 8,662,477,226
  5. Step 5: Solve for x
    x = 8,662,477,226/135,961.96
  6. Step 6: Final answer
    x = 63,712.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.