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Finding the Fourth Proportional to 219,884.83, 303,441.65 and 119,282.83

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Solution

The fourth proportional to 219,884.83, 303,441.65 and 119,282.83 is: 164,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,884.83 : 303,441.65 = 119,282.83 : x
  2. Step 2: Convert to fraction form
    219,884.83/303,441.65 = 119,282.83/x
  3. Step 3: Cross multiply
    219,884.83x = 303,441.65 × 119,282.83
  4. Step 4: Simplify right side
    219,884.83x = 36,195,378,751.87
  5. Step 5: Solve for x
    x = 36,195,378,751.87/219,884.83
  6. Step 6: Final answer
    x = 164,610.62

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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.