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Finding the Fourth Proportional to 225,589, 311,312.82 and 134,948.79

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Solution

The fourth proportional to 225,589, 311,312.82 and 134,948.79 is: 186,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,589 : 311,312.82 = 134,948.79 : x
  2. Step 2: Convert to fraction form
    225,589/311,312.82 = 134,948.79/x
  3. Step 3: Cross multiply
    225,589x = 311,312.82 × 134,948.79
  4. Step 4: Simplify right side
    225,589x = 42,011,288,370.49
  5. Step 5: Solve for x
    x = 42,011,288,370.49/225,589
  6. Step 6: Final answer
    x = 186,229.33

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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.