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Finding the Fourth Proportional to 224,105.86, 309,266.09 and 123,503.86

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Solution

The fourth proportional to 224,105.86, 309,266.09 and 123,503.86 is: 170,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,105.86 : 309,266.09 = 123,503.86 : x
  2. Step 2: Convert to fraction form
    224,105.86/309,266.09 = 123,503.86/x
  3. Step 3: Cross multiply
    224,105.86x = 309,266.09 × 123,503.86
  4. Step 4: Simplify right side
    224,105.86x = 38,195,555,417.70
  5. Step 5: Solve for x
    x = 38,195,555,417.70/224,105.86
  6. Step 6: Final answer
    x = 170,435.33

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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.