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Finding the Fourth Proportional to 122,578.73, 169,172.35 and 74,207.31

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Solution

The fourth proportional to 122,578.73, 169,172.35 and 74,207.31 is: 102,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578.73 : 169,172.35 = 74,207.31 : x
  2. Step 2: Convert to fraction form
    122,578.73/169,172.35 = 74,207.31/x
  3. Step 3: Cross multiply
    122,578.73x = 169,172.35 × 74,207.31
  4. Step 4: Simplify right side
    122,578.73x = 12,553,824,648.84
  5. Step 5: Solve for x
    x = 12,553,824,648.84/122,578.73
  6. Step 6: Final answer
    x = 102,414.38

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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.