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Finding the Fourth Proportional to 194,805.30, 292,147.20 and 76,512.90

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Solution

The fourth proportional to 194,805.30, 292,147.20 and 76,512.90 is: 114,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.30 : 292,147.20 = 76,512.90 : x
  2. Step 2: Convert to fraction form
    194,805.30/292,147.20 = 76,512.90/x
  3. Step 3: Cross multiply
    194,805.30x = 292,147.20 × 76,512.90
  4. Step 4: Simplify right side
    194,805.30x = 22,353,029,498.88
  5. Step 5: Solve for x
    x = 22,353,029,498.88/194,805.30
  6. Step 6: Final answer
    x = 114,745.49

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