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Finding the Fourth Proportional to 255,924.28, 383,722.19 and 106,267.87

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Solution

The fourth proportional to 255,924.28, 383,722.19 and 106,267.87 is: 159,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924.28 : 383,722.19 = 106,267.87 : x
  2. Step 2: Convert to fraction form
    255,924.28/383,722.19 = 106,267.87/x
  3. Step 3: Cross multiply
    255,924.28x = 383,722.19 × 106,267.87
  4. Step 4: Simplify right side
    255,924.28x = 40,777,339,803.04
  5. Step 5: Solve for x
    x = 40,777,339,803.04/255,924.28
  6. Step 6: Final answer
    x = 159,333.61

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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.