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Finding the Fourth Proportional to 164,341.78, 226,787.05 and 92,728.46

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Solution

The fourth proportional to 164,341.78, 226,787.05 and 92,728.46 is: 127,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,341.78 : 226,787.05 = 92,728.46 : x
  2. Step 2: Convert to fraction form
    164,341.78/226,787.05 = 92,728.46/x
  3. Step 3: Cross multiply
    164,341.78x = 226,787.05 × 92,728.46
  4. Step 4: Simplify right side
    164,341.78x = 21,029,613,662.62
  5. Step 5: Solve for x
    x = 21,029,613,662.62/164,341.78
  6. Step 6: Final answer
    x = 127,962.68

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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.