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Finding the Fourth Proportional to 225,616.30, 311,492.06 and 145,183.62

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Solution

The fourth proportional to 225,616.30, 311,492.06 and 145,183.62 is: 200,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,616.30 : 311,492.06 = 145,183.62 : x
  2. Step 2: Convert to fraction form
    225,616.30/311,492.06 = 145,183.62/x
  3. Step 3: Cross multiply
    225,616.30x = 311,492.06 × 145,183.62
  4. Step 4: Simplify right side
    225,616.30x = 45,223,544,872.06
  5. Step 5: Solve for x
    x = 45,223,544,872.06/225,616.30
  6. Step 6: Final answer
    x = 200,444.49

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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.