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Finding the Fourth Proportional to 219,905.24, 303,469.81 and 119,303.24

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Solution

The fourth proportional to 219,905.24, 303,469.81 and 119,303.24 is: 164,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,905.24 : 303,469.81 = 119,303.24 : x
  2. Step 2: Convert to fraction form
    219,905.24/303,469.81 = 119,303.24/x
  3. Step 3: Cross multiply
    219,905.24x = 303,469.81 × 119,303.24
  4. Step 4: Simplify right side
    219,905.24x = 36,204,929,759.58
  5. Step 5: Solve for x
    x = 36,204,929,759.58/219,905.24
  6. Step 6: Final answer
    x = 164,638.78

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1.5x scale

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.