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Finding the Fourth Proportional to 196,433, 271,077.54 and 107,009

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Solution

The fourth proportional to 196,433, 271,077.54 and 107,009 is: 147,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,433 : 271,077.54 = 107,009 : x
  2. Step 2: Convert to fraction form
    196,433/271,077.54 = 107,009/x
  3. Step 3: Cross multiply
    196,433x = 271,077.54 × 107,009
  4. Step 4: Simplify right side
    196,433x = 29,007,736,477.86
  5. Step 5: Solve for x
    x = 29,007,736,477.86/196,433
  6. Step 6: Final answer
    x = 147,672.42

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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.