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Finding the Fourth Proportional to 196,697.80, 295,142.70 and 91,462.60

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Solution

The fourth proportional to 196,697.80, 295,142.70 and 91,462.60 is: 137,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,697.80 : 295,142.70 = 91,462.60 : x
  2. Step 2: Convert to fraction form
    196,697.80/295,142.70 = 91,462.60/x
  3. Step 3: Cross multiply
    196,697.80x = 295,142.70 × 91,462.60
  4. Step 4: Simplify right side
    196,697.80x = 26,994,518,713.02
  5. Step 5: Solve for x
    x = 26,994,518,713.02/196,697.80
  6. Step 6: Final answer
    x = 137,238.54

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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.