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Finding the Fourth Proportional to 224,609.73, 309,953.28 and 122,633.31

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Solution

The fourth proportional to 224,609.73, 309,953.28 and 122,633.31 is: 169,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,609.73 : 309,953.28 = 122,633.31 : x
  2. Step 2: Convert to fraction form
    224,609.73/309,953.28 = 122,633.31/x
  3. Step 3: Cross multiply
    224,609.73x = 309,953.28 × 122,633.31
  4. Step 4: Simplify right side
    224,609.73x = 38,010,596,550.47
  5. Step 5: Solve for x
    x = 38,010,596,550.47/224,609.73
  6. Step 6: Final answer
    x = 169,229.52

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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.