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Finding the Fourth Proportional to 224,451.52, 309,743.28 and 122,477.20

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Solution

The fourth proportional to 224,451.52, 309,743.28 and 122,477.20 is: 169,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,451.52 : 309,743.28 = 122,477.20 : x
  2. Step 2: Convert to fraction form
    224,451.52/309,743.28 = 122,477.20/x
  3. Step 3: Cross multiply
    224,451.52x = 309,743.28 × 122,477.20
  4. Step 4: Simplify right side
    224,451.52x = 37,936,489,653.22
  5. Step 5: Solve for x
    x = 37,936,489,653.22/224,451.52
  6. Step 6: Final answer
    x = 169,018.64

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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.