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Finding the Fourth Proportional to 255,872.30, 383,644.22 and 106,215.89

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Solution

The fourth proportional to 255,872.30, 383,644.22 and 106,215.89 is: 159,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,872.30 : 383,644.22 = 106,215.89 : x
  2. Step 2: Convert to fraction form
    255,872.30/383,644.22 = 106,215.89/x
  3. Step 3: Cross multiply
    255,872.30x = 383,644.22 × 106,215.89
  4. Step 4: Simplify right side
    255,872.30x = 40,749,113,495.31
  5. Step 5: Solve for x
    x = 40,749,113,495.31/255,872.30
  6. Step 6: Final answer
    x = 159,255.66

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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.