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Finding the Fourth Proportional to 196,530, 271,211.52 and 107,106

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Solution

The fourth proportional to 196,530, 271,211.52 and 107,106 is: 147,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,530 : 271,211.52 = 107,106 : x
  2. Step 2: Convert to fraction form
    196,530/271,211.52 = 107,106/x
  3. Step 3: Cross multiply
    196,530x = 271,211.52 × 107,106
  4. Step 4: Simplify right side
    196,530x = 29,048,381,061.12
  5. Step 5: Solve for x
    x = 29,048,381,061.12/196,530
  6. Step 6: Final answer
    x = 147,806.35

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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.