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Finding the Fourth Proportional to 219,905.11, 303,469.64 and 119,303.11

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Solution

The fourth proportional to 219,905.11, 303,469.64 and 119,303.11 is: 164,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,905.11 : 303,469.64 = 119,303.11 : x
  2. Step 2: Convert to fraction form
    219,905.11/303,469.64 = 119,303.11/x
  3. Step 3: Cross multiply
    219,905.11x = 303,469.64 × 119,303.11
  4. Step 4: Simplify right side
    219,905.11x = 36,204,871,842.58
  5. Step 5: Solve for x
    x = 36,204,871,842.58/219,905.11
  6. Step 6: Final answer
    x = 164,638.61

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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.