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Finding the Fourth Proportional to 196,483.46, 271,147.16 and 107,059.46

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Solution

The fourth proportional to 196,483.46, 271,147.16 and 107,059.46 is: 147,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,483.46 : 271,147.16 = 107,059.46 : x
  2. Step 2: Convert to fraction form
    196,483.46/271,147.16 = 107,059.46/x
  3. Step 3: Cross multiply
    196,483.46x = 271,147.16 × 107,059.46
  4. Step 4: Simplify right side
    196,483.46x = 29,028,868,530.13
  5. Step 5: Solve for x
    x = 29,028,868,530.13/196,483.46
  6. Step 6: Final answer
    x = 147,742.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.