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Finding the Fourth Proportional to 196,431, 271,074.78 and 107,007

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Solution

The fourth proportional to 196,431, 271,074.78 and 107,007 is: 147,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,431 : 271,074.78 = 107,007 : x
  2. Step 2: Convert to fraction form
    196,431/271,074.78 = 107,007/x
  3. Step 3: Cross multiply
    196,431x = 271,074.78 × 107,007
  4. Step 4: Simplify right side
    196,431x = 29,006,898,983.46
  5. Step 5: Solve for x
    x = 29,006,898,983.46/196,431
  6. Step 6: Final answer
    x = 147,669.66

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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.