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Finding the Fourth Proportional to 117,906.38, 162,714.20 and 64,192.31

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Solution

The fourth proportional to 117,906.38, 162,714.20 and 64,192.31 is: 88,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,906.38 : 162,714.20 = 64,192.31 : x
  2. Step 2: Convert to fraction form
    117,906.38/162,714.20 = 64,192.31/x
  3. Step 3: Cross multiply
    117,906.38x = 162,714.20 × 64,192.31
  4. Step 4: Simplify right side
    117,906.38x = 10,445,000,367.80
  5. Step 5: Solve for x
    x = 10,445,000,367.80/117,906.38
  6. Step 6: Final answer
    x = 88,587.24

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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.