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Finding the Fourth Proportional to 196,386, 271,015.56 and 106,962

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Solution

The fourth proportional to 196,386, 271,015.56 and 106,962 is: 147,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,386 : 271,015.56 = 106,962 : x
  2. Step 2: Convert to fraction form
    196,386/271,015.56 = 106,962/x
  3. Step 3: Cross multiply
    196,386x = 271,015.56 × 106,962
  4. Step 4: Simplify right side
    196,386x = 28,988,366,328.72
  5. Step 5: Solve for x
    x = 28,988,366,328.72/196,386
  6. Step 6: Final answer
    x = 147,609.13

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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.