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Finding the Fourth Proportional to 219,609.14, 303,060.82 and 119,007.14

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Solution

The fourth proportional to 219,609.14, 303,060.82 and 119,007.14 is: 164,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,609.14 : 303,060.82 = 119,007.14 : x
  2. Step 2: Convert to fraction form
    219,609.14/303,060.82 = 119,007.14/x
  3. Step 3: Cross multiply
    219,609.14x = 303,060.82 × 119,007.14
  4. Step 4: Simplify right side
    219,609.14x = 36,066,401,434.25
  5. Step 5: Solve for x
    x = 36,066,401,434.25/219,609.14
  6. Step 6: Final answer
    x = 164,229.97

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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.