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Finding the Fourth Proportional to 224,491.44, 309,788.52 and 122,514.32

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Solution

The fourth proportional to 224,491.44, 309,788.52 and 122,514.32 is: 169,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,491.44 : 309,788.52 = 122,514.32 : x
  2. Step 2: Convert to fraction form
    224,491.44/309,788.52 = 122,514.32/x
  3. Step 3: Cross multiply
    224,491.44x = 309,788.52 × 122,514.32
  4. Step 4: Simplify right side
    224,491.44x = 37,953,529,871.61
  5. Step 5: Solve for x
    x = 37,953,529,871.61/224,491.44
  6. Step 6: Final answer
    x = 169,064.49

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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.