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Finding the Fourth Proportional to 271,932.48, 408,102.96 and 138,924

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Solution

The fourth proportional to 271,932.48, 408,102.96 and 138,924 is: 208,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932.48 : 408,102.96 = 138,924 : x
  2. Step 2: Convert to fraction form
    271,932.48/408,102.96 = 138,924/x
  3. Step 3: Cross multiply
    271,932.48x = 408,102.96 × 138,924
  4. Step 4: Simplify right side
    271,932.48x = 56,695,295,615.04
  5. Step 5: Solve for x
    x = 56,695,295,615.04/271,932.48
  6. Step 6: Final answer
    x = 208,490.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.