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Finding the Fourth Proportional to 255,745.60, 383,647.20 and 78,251.20

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Solution

The fourth proportional to 255,745.60, 383,647.20 and 78,251.20 is: 117,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,745.60 : 383,647.20 = 78,251.20 : x
  2. Step 2: Convert to fraction form
    255,745.60/383,647.20 = 78,251.20/x
  3. Step 3: Cross multiply
    255,745.60x = 383,647.20 × 78,251.20
  4. Step 4: Simplify right side
    255,745.60x = 30,020,853,776.64
  5. Step 5: Solve for x
    x = 30,020,853,776.64/255,745.60
  6. Step 6: Final answer
    x = 117,385.61

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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.