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Finding the Fourth Proportional to 196,961.64, 271,714.14 and 143,223

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Solution

The fourth proportional to 196,961.64, 271,714.14 and 143,223 is: 197,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,961.64 : 271,714.14 = 143,223 : x
  2. Step 2: Convert to fraction form
    196,961.64/271,714.14 = 143,223/x
  3. Step 3: Cross multiply
    196,961.64x = 271,714.14 × 143,223
  4. Step 4: Simplify right side
    196,961.64x = 38,915,714,273.22
  5. Step 5: Solve for x
    x = 38,915,714,273.22/196,961.64
  6. Step 6: Final answer
    x = 197,580.17

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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.