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Finding the Fourth Proportional to 219,369.26, 329,012.28 and 106,936.40

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Solution

The fourth proportional to 219,369.26, 329,012.28 and 106,936.40 is: 160,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,369.26 : 329,012.28 = 106,936.40 : x
  2. Step 2: Convert to fraction form
    219,369.26/329,012.28 = 106,936.40/x
  3. Step 3: Cross multiply
    219,369.26x = 329,012.28 × 106,936.40
  4. Step 4: Simplify right side
    219,369.26x = 35,183,389,601.52
  5. Step 5: Solve for x
    x = 35,183,389,601.52/219,369.26
  6. Step 6: Final answer
    x = 160,384.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.