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Finding the Fourth Proportional to 224,105.35, 309,265.38 and 123,503.35

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Solution

The fourth proportional to 224,105.35, 309,265.38 and 123,503.35 is: 170,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,105.35 : 309,265.38 = 123,503.35 : x
  2. Step 2: Convert to fraction form
    224,105.35/309,265.38 = 123,503.35/x
  3. Step 3: Cross multiply
    224,105.35x = 309,265.38 × 123,503.35
  4. Step 4: Simplify right side
    224,105.35x = 38,195,308,922.70
  5. Step 5: Solve for x
    x = 38,195,308,922.70/224,105.35
  6. Step 6: Final answer
    x = 170,434.62

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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.