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Finding the Fourth Proportional to 219,206.94, 328,616.01 and 106,824.30

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Solution

The fourth proportional to 219,206.94, 328,616.01 and 106,824.30 is: 160,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,206.94 : 328,616.01 = 106,824.30 : x
  2. Step 2: Convert to fraction form
    219,206.94/328,616.01 = 106,824.30/x
  3. Step 3: Cross multiply
    219,206.94x = 328,616.01 × 106,824.30
  4. Step 4: Simplify right side
    219,206.94x = 35,104,175,237.04
  5. Step 5: Solve for x
    x = 35,104,175,237.04/219,206.94
  6. Step 6: Final answer
    x = 160,141.71

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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.