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Finding the Fourth Proportional to 224,089.57, 309,239.53 and 122,115.88

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Solution

The fourth proportional to 224,089.57, 309,239.53 and 122,115.88 is: 168,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,089.57 : 309,239.53 = 122,115.88 : x
  2. Step 2: Convert to fraction form
    224,089.57/309,239.53 = 122,115.88/x
  3. Step 3: Cross multiply
    224,089.57x = 309,239.53 × 122,115.88
  4. Step 4: Simplify right side
    224,089.57x = 37,763,057,336.74
  5. Step 5: Solve for x
    x = 37,763,057,336.74/224,089.57
  6. Step 6: Final answer
    x = 168,517.69

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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.