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Finding the Fourth Proportional to 278,173.21, 383,879.24 and 150,848.77

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Solution

The fourth proportional to 278,173.21, 383,879.24 and 150,848.77 is: 208,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,173.21 : 383,879.24 = 150,848.77 : x
  2. Step 2: Convert to fraction form
    278,173.21/383,879.24 = 150,848.77/x
  3. Step 3: Cross multiply
    278,173.21x = 383,879.24 × 150,848.77
  4. Step 4: Simplify right side
    278,173.21x = 57,907,711,182.53
  5. Step 5: Solve for x
    x = 57,907,711,182.53/278,173.21
  6. Step 6: Final answer
    x = 208,171.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.