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Finding the Fourth Proportional to 224,477.91, 309,786.05 and 122,509.93

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Solution

The fourth proportional to 224,477.91, 309,786.05 and 122,509.93 is: 169,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.91 : 309,786.05 = 122,509.93 : x
  2. Step 2: Convert to fraction form
    224,477.91/309,786.05 = 122,509.93/x
  3. Step 3: Cross multiply
    224,477.91x = 309,786.05 × 122,509.93
  4. Step 4: Simplify right side
    224,477.91x = 37,951,867,300.48
  5. Step 5: Solve for x
    x = 37,951,867,300.48/224,477.91
  6. Step 6: Final answer
    x = 169,067.27

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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.