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Finding the Fourth Proportional to 135,555.48, 203,381.64 and 82,356

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Solution

The fourth proportional to 135,555.48, 203,381.64 and 82,356 is: 123,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,555.48 : 203,381.64 = 82,356 : x
  2. Step 2: Convert to fraction form
    135,555.48/203,381.64 = 82,356/x
  3. Step 3: Cross multiply
    135,555.48x = 203,381.64 × 82,356
  4. Step 4: Simplify right side
    135,555.48x = 16,749,698,343.84
  5. Step 5: Solve for x
    x = 16,749,698,343.84/135,555.48
  6. Step 6: Final answer
    x = 123,563.42

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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.