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Finding the Fourth Proportional to 185,644.68, 277,836.30 and 114,612.54

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Solution

The fourth proportional to 185,644.68, 277,836.30 and 114,612.54 is: 171,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,644.68 : 277,836.30 = 114,612.54 : x
  2. Step 2: Convert to fraction form
    185,644.68/277,836.30 = 114,612.54/x
  3. Step 3: Cross multiply
    185,644.68x = 277,836.30 × 114,612.54
  4. Step 4: Simplify right side
    185,644.68x = 31,843,524,047.20
  5. Step 5: Solve for x
    x = 31,843,524,047.20/185,644.68
  6. Step 6: Final answer
    x = 171,529.42

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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.