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Finding the Fourth Proportional to 219,884.46, 303,441.13 and 119,282.46

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Solution

The fourth proportional to 219,884.46, 303,441.13 and 119,282.46 is: 164,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,884.46 : 303,441.13 = 119,282.46 : x
  2. Step 2: Convert to fraction form
    219,884.46/303,441.13 = 119,282.46/x
  3. Step 3: Cross multiply
    219,884.46x = 303,441.13 × 119,282.46
  4. Step 4: Simplify right side
    219,884.46x = 36,195,204,451.58
  5. Step 5: Solve for x
    x = 36,195,204,451.58/219,884.46
  6. Step 6: Final answer
    x = 164,610.11

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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.