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Finding the Fourth Proportional to 255,850.98, 383,465.16 and 180,992.70

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Solution

The fourth proportional to 255,850.98, 383,465.16 and 180,992.70 is: 271,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,850.98 : 383,465.16 = 180,992.70 : x
  2. Step 2: Convert to fraction form
    255,850.98/383,465.16 = 180,992.70/x
  3. Step 3: Cross multiply
    255,850.98x = 383,465.16 × 180,992.70
  4. Step 4: Simplify right side
    255,850.98x = 69,404,396,251.87
  5. Step 5: Solve for x
    x = 69,404,396,251.87/255,850.98
  6. Step 6: Final answer
    x = 271,268.83

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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.