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Finding the Fourth Proportional to 255,833.26, 383,750.82 and 78,339.55

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Solution

The fourth proportional to 255,833.26, 383,750.82 and 78,339.55 is: 117,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,833.26 : 383,750.82 = 78,339.55 : x
  2. Step 2: Convert to fraction form
    255,833.26/383,750.82 = 78,339.55/x
  3. Step 3: Cross multiply
    255,833.26x = 383,750.82 × 78,339.55
  4. Step 4: Simplify right side
    255,833.26x = 30,062,866,550.93
  5. Step 5: Solve for x
    x = 30,062,866,550.93/255,833.26
  6. Step 6: Final answer
    x = 117,509.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.