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Finding the Fourth Proportional to 225,664.02, 311,557.98 and 145,231.32

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Solution

The fourth proportional to 225,664.02, 311,557.98 and 145,231.32 is: 200,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664.02 : 311,557.98 = 145,231.32 : x
  2. Step 2: Convert to fraction form
    225,664.02/311,557.98 = 145,231.32/x
  3. Step 3: Cross multiply
    225,664.02x = 311,557.98 × 145,231.32
  4. Step 4: Simplify right side
    225,664.02x = 45,247,976,691.93
  5. Step 5: Solve for x
    x = 45,247,976,691.93/225,664.02
  6. Step 6: Final answer
    x = 200,510.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.