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Finding the Fourth Proportional to 224,502.44, 309,819.74 and 122,534.37

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Solution

The fourth proportional to 224,502.44, 309,819.74 and 122,534.37 is: 169,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,502.44 : 309,819.74 = 122,534.37 : x
  2. Step 2: Convert to fraction form
    224,502.44/309,819.74 = 122,534.37/x
  3. Step 3: Cross multiply
    224,502.44x = 309,819.74 × 122,534.37
  4. Step 4: Simplify right side
    224,502.44x = 37,963,566,041.79
  5. Step 5: Solve for x
    x = 37,963,566,041.79/224,502.44
  6. Step 6: Final answer
    x = 169,100.91

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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.