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Finding the Fourth Proportional to 196,439, 271,085.82 and 107,015

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Solution

The fourth proportional to 196,439, 271,085.82 and 107,015 is: 147,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,439 : 271,085.82 = 107,015 : x
  2. Step 2: Convert to fraction form
    196,439/271,085.82 = 107,015/x
  3. Step 3: Cross multiply
    196,439x = 271,085.82 × 107,015
  4. Step 4: Simplify right side
    196,439x = 29,010,249,027.30
  5. Step 5: Solve for x
    x = 29,010,249,027.30/196,439
  6. Step 6: Final answer
    x = 147,680.70

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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.