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Finding the Fourth Proportional to 219,982.51, 303,576.06 and 119,380.51

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Solution

The fourth proportional to 219,982.51, 303,576.06 and 119,380.51 is: 164,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,982.51 : 303,576.06 = 119,380.51 : x
  2. Step 2: Convert to fraction form
    219,982.51/303,576.06 = 119,380.51/x
  3. Step 3: Cross multiply
    219,982.51x = 303,576.06 × 119,380.51
  4. Step 4: Simplify right side
    219,982.51x = 36,241,064,866.59
  5. Step 5: Solve for x
    x = 36,241,064,866.59/219,982.51
  6. Step 6: Final answer
    x = 164,745.21

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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.