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Finding the Fourth Proportional to 225,735.32, 311,407.39 and 135,073.02

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Solution

The fourth proportional to 225,735.32, 311,407.39 and 135,073.02 is: 186,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,735.32 : 311,407.39 = 135,073.02 : x
  2. Step 2: Convert to fraction form
    225,735.32/311,407.39 = 135,073.02/x
  3. Step 3: Cross multiply
    225,735.32x = 311,407.39 × 135,073.02
  4. Step 4: Simplify right side
    225,735.32x = 42,062,736,617.62
  5. Step 5: Solve for x
    x = 42,062,736,617.62/225,735.32
  6. Step 6: Final answer
    x = 186,336.53

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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.