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Finding the Fourth Proportional to 196,568.15, 271,198.80 and 160,207.08

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Solution

The fourth proportional to 196,568.15, 271,198.80 and 160,207.08 is: 221,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,568.15 : 271,198.80 = 160,207.08 : x
  2. Step 2: Convert to fraction form
    196,568.15/271,198.80 = 160,207.08/x
  3. Step 3: Cross multiply
    196,568.15x = 271,198.80 × 160,207.08
  4. Step 4: Simplify right side
    196,568.15x = 43,447,967,169.51
  5. Step 5: Solve for x
    x = 43,447,967,169.51/196,568.15
  6. Step 6: Final answer
    x = 221,032.59

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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.