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Finding the Fourth Proportional to 224,065.62, 309,206.90 and 122,092.30

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Solution

The fourth proportional to 224,065.62, 309,206.90 and 122,092.30 is: 168,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,065.62 : 309,206.90 = 122,092.30 : x
  2. Step 2: Convert to fraction form
    224,065.62/309,206.90 = 122,092.30/x
  3. Step 3: Cross multiply
    224,065.62x = 309,206.90 × 122,092.30
  4. Step 4: Simplify right side
    224,065.62x = 37,751,781,596.87
  5. Step 5: Solve for x
    x = 37,751,781,596.87/224,065.62
  6. Step 6: Final answer
    x = 168,485.38

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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.