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Finding the Fourth Proportional to 255,872.81, 383,644.97 and 106,216.40

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Solution

The fourth proportional to 255,872.81, 383,644.97 and 106,216.40 is: 159,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,872.81 : 383,644.97 = 106,216.40 : x
  2. Step 2: Convert to fraction form
    255,872.81/383,644.97 = 106,216.40/x
  3. Step 3: Cross multiply
    255,872.81x = 383,644.97 × 106,216.40
  4. Step 4: Simplify right side
    255,872.81x = 40,749,385,673.28
  5. Step 5: Solve for x
    x = 40,749,385,673.28/255,872.81
  6. Step 6: Final answer
    x = 159,256.42

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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.