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Finding the Fourth Proportional to 224,493.20, 309,802.32 and 122,519.48

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Solution

The fourth proportional to 224,493.20, 309,802.32 and 122,519.48 is: 169,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,493.20 : 309,802.32 = 122,519.48 : x
  2. Step 2: Convert to fraction form
    224,493.20/309,802.32 = 122,519.48/x
  3. Step 3: Cross multiply
    224,493.20x = 309,802.32 × 122,519.48
  4. Step 4: Simplify right side
    224,493.20x = 37,956,819,149.19
  5. Step 5: Solve for x
    x = 37,956,819,149.19/224,493.20
  6. Step 6: Final answer
    x = 169,077.81

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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.