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Finding the Fourth Proportional to 176,074.80, 263,766.60 and 105,745.20

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Solution

The fourth proportional to 176,074.80, 263,766.60 and 105,745.20 is: 158,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,074.80 : 263,766.60 = 105,745.20 : x
  2. Step 2: Convert to fraction form
    176,074.80/263,766.60 = 105,745.20/x
  3. Step 3: Cross multiply
    176,074.80x = 263,766.60 × 105,745.20
  4. Step 4: Simplify right side
    176,074.80x = 27,892,051,870.32
  5. Step 5: Solve for x
    x = 27,892,051,870.32/176,074.80
  6. Step 6: Final answer
    x = 158,410.24

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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.