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Finding the Fourth Proportional to 255,696.92, 383,483.85 and 78,205.47

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Solution

The fourth proportional to 255,696.92, 383,483.85 and 78,205.47 is: 117,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,696.92 : 383,483.85 = 78,205.47 : x
  2. Step 2: Convert to fraction form
    255,696.92/383,483.85 = 78,205.47/x
  3. Step 3: Cross multiply
    255,696.92x = 383,483.85 × 78,205.47
  4. Step 4: Simplify right side
    255,696.92x = 29,990,534,726.66
  5. Step 5: Solve for x
    x = 29,990,534,726.66/255,696.92
  6. Step 6: Final answer
    x = 117,289.39

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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.