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Finding the Fourth Proportional to 135,369, 203,049.36 and 64,342.80

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Solution

The fourth proportional to 135,369, 203,049.36 and 64,342.80 is: 96,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,369 : 203,049.36 = 64,342.80 : x
  2. Step 2: Convert to fraction form
    135,369/203,049.36 = 64,342.80/x
  3. Step 3: Cross multiply
    135,369x = 203,049.36 × 64,342.80
  4. Step 4: Simplify right side
    135,369x = 13,064,764,360.61
  5. Step 5: Solve for x
    x = 13,064,764,360.61/135,369
  6. Step 6: Final answer
    x = 96,512.23

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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.