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Finding the Fourth Proportional to 194,714.70, 292,052.61 and 54,474.54

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Solution

The fourth proportional to 194,714.70, 292,052.61 and 54,474.54 is: 81,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,714.70 : 292,052.61 = 54,474.54 : x
  2. Step 2: Convert to fraction form
    194,714.70/292,052.61 = 54,474.54/x
  3. Step 3: Cross multiply
    194,714.70x = 292,052.61 × 54,474.54
  4. Step 4: Simplify right side
    194,714.70x = 15,909,431,585.55
  5. Step 5: Solve for x
    x = 15,909,431,585.55/194,714.70
  6. Step 6: Final answer
    x = 81,706.37

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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.