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Finding the Fourth Proportional to 135,512.34, 203,393.28 and 69,000

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Solution

The fourth proportional to 135,512.34, 203,393.28 and 69,000 is: 103,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,512.34 : 203,393.28 = 69,000 : x
  2. Step 2: Convert to fraction form
    135,512.34/203,393.28 = 69,000/x
  3. Step 3: Cross multiply
    135,512.34x = 203,393.28 × 69,000
  4. Step 4: Simplify right side
    135,512.34x = 14,034,136,320
  5. Step 5: Solve for x
    x = 14,034,136,320/135,512.34
  6. Step 6: Final answer
    x = 103,563.53

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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.