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Finding the Fourth Proportional to 219,971.36, 303,560.72 and 119,369.36

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Solution

The fourth proportional to 219,971.36, 303,560.72 and 119,369.36 is: 164,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,971.36 : 303,560.72 = 119,369.36 : x
  2. Step 2: Convert to fraction form
    219,971.36/303,560.72 = 119,369.36/x
  3. Step 3: Cross multiply
    219,971.36x = 303,560.72 × 119,369.36
  4. Step 4: Simplify right side
    219,971.36x = 36,235,848,867.54
  5. Step 5: Solve for x
    x = 36,235,848,867.54/219,971.36
  6. Step 6: Final answer
    x = 164,729.85

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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.