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Finding the Fourth Proportional to 255,957.30, 383,936.12 and 106,157.37

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Solution

The fourth proportional to 255,957.30, 383,936.12 and 106,157.37 is: 159,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,957.30 : 383,936.12 = 106,157.37 : x
  2. Step 2: Convert to fraction form
    255,957.30/383,936.12 = 106,157.37/x
  3. Step 3: Cross multiply
    255,957.30x = 383,936.12 × 106,157.37
  4. Step 4: Simplify right side
    255,957.30x = 40,757,648,747.20
  5. Step 5: Solve for x
    x = 40,757,648,747.20/255,957.30
  6. Step 6: Final answer
    x = 159,236.13

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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.