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Finding the Fourth Proportional to 225,504.32, 311,192.02 and 123,531.80

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Solution

The fourth proportional to 225,504.32, 311,192.02 and 123,531.80 is: 170,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504.32 : 311,192.02 = 123,531.80 : x
  2. Step 2: Convert to fraction form
    225,504.32/311,192.02 = 123,531.80/x
  3. Step 3: Cross multiply
    225,504.32x = 311,192.02 × 123,531.80
  4. Step 4: Simplify right side
    225,504.32x = 38,442,110,376.24
  5. Step 5: Solve for x
    x = 38,442,110,376.24/225,504.32
  6. Step 6: Final answer
    x = 170,471.72

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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.