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Finding the Fourth Proportional to 196,741.96, 271,411.70 and 116,114.56

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Solution

The fourth proportional to 196,741.96, 271,411.70 and 116,114.56 is: 160,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,741.96 : 271,411.70 = 116,114.56 : x
  2. Step 2: Convert to fraction form
    196,741.96/271,411.70 = 116,114.56/x
  3. Step 3: Cross multiply
    196,741.96x = 271,411.70 × 116,114.56
  4. Step 4: Simplify right side
    196,741.96x = 31,514,850,124.35
  5. Step 5: Solve for x
    x = 31,514,850,124.35/196,741.96
  6. Step 6: Final answer
    x = 160,183.67

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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.