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Finding the Fourth Proportional to 135,833.10, 203,769.06 and 42,346.14

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Solution

The fourth proportional to 135,833.10, 203,769.06 and 42,346.14 is: 63,525.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,833.10 : 203,769.06 = 42,346.14 : x
  2. Step 2: Convert to fraction form
    135,833.10/203,769.06 = 42,346.14/x
  3. Step 3: Cross multiply
    135,833.10x = 203,769.06 × 42,346.14
  4. Step 4: Simplify right side
    135,833.10x = 8,628,833,142.43
  5. Step 5: Solve for x
    x = 8,628,833,142.43/135,833.10
  6. Step 6: Final answer
    x = 63,525.26

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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.