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Finding the Fourth Proportional to 135,478.32, 203,223.96 and 65,416.56

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Solution

The fourth proportional to 135,478.32, 203,223.96 and 65,416.56 is: 98,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,478.32 : 203,223.96 = 65,416.56 : x
  2. Step 2: Convert to fraction form
    135,478.32/203,223.96 = 65,416.56/x
  3. Step 3: Cross multiply
    135,478.32x = 203,223.96 × 65,416.56
  4. Step 4: Simplify right side
    135,478.32x = 13,294,212,372.78
  5. Step 5: Solve for x
    x = 13,294,212,372.78/135,478.32
  6. Step 6: Final answer
    x = 98,127.97

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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.