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Finding the Fourth Proportional to 255,994.23, 383,976.98 and 78,500.75

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Solution

The fourth proportional to 255,994.23, 383,976.98 and 78,500.75 is: 117,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,994.23 : 383,976.98 = 78,500.75 : x
  2. Step 2: Convert to fraction form
    255,994.23/383,976.98 = 78,500.75/x
  3. Step 3: Cross multiply
    255,994.23x = 383,976.98 × 78,500.75
  4. Step 4: Simplify right side
    255,994.23x = 30,142,480,912.74
  5. Step 5: Solve for x
    x = 30,142,480,912.74/255,994.23
  6. Step 6: Final answer
    x = 117,746.72

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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.