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Finding the Fourth Proportional to 194,906.42, 292,359.64 and 47,162.42

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Solution

The fourth proportional to 194,906.42, 292,359.64 and 47,162.42 is: 70,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.42 : 292,359.64 = 47,162.42 : x
  2. Step 2: Convert to fraction form
    194,906.42/292,359.64 = 47,162.42/x
  3. Step 3: Cross multiply
    194,906.42x = 292,359.64 × 47,162.42
  4. Step 4: Simplify right side
    194,906.42x = 13,788,388,132.73
  5. Step 5: Solve for x
    x = 13,788,388,132.73/194,906.42
  6. Step 6: Final answer
    x = 70,743.63

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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.