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Finding the Fourth Proportional to 196,414, 271,051.32 and 106,990

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Solution

The fourth proportional to 196,414, 271,051.32 and 106,990 is: 147,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,414 : 271,051.32 = 106,990 : x
  2. Step 2: Convert to fraction form
    196,414/271,051.32 = 106,990/x
  3. Step 3: Cross multiply
    196,414x = 271,051.32 × 106,990
  4. Step 4: Simplify right side
    196,414x = 28,999,780,726.80
  5. Step 5: Solve for x
    x = 28,999,780,726.80/196,414
  6. Step 6: Final answer
    x = 147,646.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.