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Finding the Fourth Proportional to 172,946.62, 238,665.72 and 96,465.66

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Solution

The fourth proportional to 172,946.62, 238,665.72 and 96,465.66 is: 133,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,946.62 : 238,665.72 = 96,465.66 : x
  2. Step 2: Convert to fraction form
    172,946.62/238,665.72 = 96,465.66/x
  3. Step 3: Cross multiply
    172,946.62x = 238,665.72 × 96,465.66
  4. Step 4: Simplify right side
    172,946.62x = 23,023,045,843.68
  5. Step 5: Solve for x
    x = 23,023,045,843.68/172,946.62
  6. Step 6: Final answer
    x = 133,122.26

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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.