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Finding the Fourth Proportional to 194,906.53, 292,359.80 and 47,162.53

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Solution

The fourth proportional to 194,906.53, 292,359.80 and 47,162.53 is: 70,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.53 : 292,359.80 = 47,162.53 : x
  2. Step 2: Convert to fraction form
    194,906.53/292,359.80 = 47,162.53/x
  3. Step 3: Cross multiply
    194,906.53x = 292,359.80 × 47,162.53
  4. Step 4: Simplify right side
    194,906.53x = 13,788,428,321.65
  5. Step 5: Solve for x
    x = 13,788,428,321.65/194,906.53
  6. Step 6: Final answer
    x = 70,743.80

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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.