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Finding the Fourth Proportional to 194,782.60, 292,404.30 and 110,609.80

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Solution

The fourth proportional to 194,782.60, 292,404.30 and 110,609.80 is: 166,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,782.60 : 292,404.30 = 110,609.80 : x
  2. Step 2: Convert to fraction form
    194,782.60/292,404.30 = 110,609.80/x
  3. Step 3: Cross multiply
    194,782.60x = 292,404.30 × 110,609.80
  4. Step 4: Simplify right side
    194,782.60x = 32,342,781,142.14
  5. Step 5: Solve for x
    x = 32,342,781,142.14/194,782.60
  6. Step 6: Final answer
    x = 166,045.54

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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.