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Finding the Fourth Proportional to 194,697.50, 292,077.84 and 76,304.66

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Solution

The fourth proportional to 194,697.50, 292,077.84 and 76,304.66 is: 114,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,697.50 : 292,077.84 = 76,304.66 : x
  2. Step 2: Convert to fraction form
    194,697.50/292,077.84 = 76,304.66/x
  3. Step 3: Cross multiply
    194,697.50x = 292,077.84 × 76,304.66
  4. Step 4: Simplify right side
    194,697.50x = 22,286,900,274.73
  5. Step 5: Solve for x
    x = 22,286,900,274.73/194,697.50
  6. Step 6: Final answer
    x = 114,469.37

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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.