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Finding the Fourth Proportional to 224,273.86, 309,505.39 and 122,304.90

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Solution

The fourth proportional to 224,273.86, 309,505.39 and 122,304.90 is: 168,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,273.86 : 309,505.39 = 122,304.90 : x
  2. Step 2: Convert to fraction form
    224,273.86/309,505.39 = 122,304.90/x
  3. Step 3: Cross multiply
    224,273.86x = 309,505.39 × 122,304.90
  4. Step 4: Simplify right side
    224,273.86x = 37,854,024,531.65
  5. Step 5: Solve for x
    x = 37,854,024,531.65/224,273.86
  6. Step 6: Final answer
    x = 168,784.83

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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.