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Finding the Fourth Proportional to 219,624.66, 303,082.29 and 119,022.66

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Solution

The fourth proportional to 219,624.66, 303,082.29 and 119,022.66 is: 164,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,624.66 : 303,082.29 = 119,022.66 : x
  2. Step 2: Convert to fraction form
    219,624.66/303,082.29 = 119,022.66/x
  3. Step 3: Cross multiply
    219,624.66x = 303,082.29 × 119,022.66
  4. Step 4: Simplify right side
    219,624.66x = 36,073,660,354.69
  5. Step 5: Solve for x
    x = 36,073,660,354.69/219,624.66
  6. Step 6: Final answer
    x = 164,251.41

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Why These Related Problems?

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