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Finding the Fourth Proportional to 219,983.01, 303,576.75 and 119,381.01

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Solution

The fourth proportional to 219,983.01, 303,576.75 and 119,381.01 is: 164,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,983.01 : 303,576.75 = 119,381.01 : x
  2. Step 2: Convert to fraction form
    219,983.01/303,576.75 = 119,381.01/x
  3. Step 3: Cross multiply
    219,983.01x = 303,576.75 × 119,381.01
  4. Step 4: Simplify right side
    219,983.01x = 36,241,299,027.52
  5. Step 5: Solve for x
    x = 36,241,299,027.52/219,983.01
  6. Step 6: Final answer
    x = 164,745.90

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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.