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Finding the Fourth Proportional to 255,872.75, 383,010.42 and 188,480.76

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Solution

The fourth proportional to 255,872.75, 383,010.42 and 188,480.76 is: 282,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,872.75 : 383,010.42 = 188,480.76 : x
  2. Step 2: Convert to fraction form
    255,872.75/383,010.42 = 188,480.76/x
  3. Step 3: Cross multiply
    255,872.75x = 383,010.42 × 188,480.76
  4. Step 4: Simplify right side
    255,872.75x = 72,190,093,134.47
  5. Step 5: Solve for x
    x = 72,190,093,134.47/255,872.75
  6. Step 6: Final answer
    x = 282,132.80

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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.