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Finding the Fourth Proportional to 196,101.90, 294,114.11 and 53,910.48

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Solution

The fourth proportional to 196,101.90, 294,114.11 and 53,910.48 is: 80,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,101.90 : 294,114.11 = 53,910.48 : x
  2. Step 2: Convert to fraction form
    196,101.90/294,114.11 = 53,910.48/x
  3. Step 3: Cross multiply
    196,101.90x = 294,114.11 × 53,910.48
  4. Step 4: Simplify right side
    196,101.90x = 15,855,832,575.32
  5. Step 5: Solve for x
    x = 15,855,832,575.32/196,101.90
  6. Step 6: Final answer
    x = 80,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.