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Finding the Fourth Proportional to 255,906.80, 383,860.20 and 78,412.40

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Solution

The fourth proportional to 255,906.80, 383,860.20 and 78,412.40 is: 117,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.80 : 383,860.20 = 78,412.40 : x
  2. Step 2: Convert to fraction form
    255,906.80/383,860.20 = 78,412.40/x
  3. Step 3: Cross multiply
    255,906.80x = 383,860.20 × 78,412.40
  4. Step 4: Simplify right side
    255,906.80x = 30,099,399,546.48
  5. Step 5: Solve for x
    x = 30,099,399,546.48/255,906.80
  6. Step 6: Final answer
    x = 117,618.60

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1.5x scale

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.