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Finding the Fourth Proportional to 219,626, 303,084.96 and 119,024

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Solution

The fourth proportional to 219,626, 303,084.96 and 119,024 is: 164,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,626 : 303,084.96 = 119,024 : x
  2. Step 2: Convert to fraction form
    219,626/303,084.96 = 119,024/x
  3. Step 3: Cross multiply
    219,626x = 303,084.96 × 119,024
  4. Step 4: Simplify right side
    219,626x = 36,074,384,279.04
  5. Step 5: Solve for x
    x = 36,074,384,279.04/219,626
  6. Step 6: Final answer
    x = 164,253.71

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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.