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Finding the Fourth Proportional to 180,137.51, 270,206.26 and 47,016.60

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Solution

The fourth proportional to 180,137.51, 270,206.26 and 47,016.60 is: 70,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,137.51 : 270,206.26 = 47,016.60 : x
  2. Step 2: Convert to fraction form
    180,137.51/270,206.26 = 47,016.60/x
  3. Step 3: Cross multiply
    180,137.51x = 270,206.26 × 47,016.60
  4. Step 4: Simplify right side
    180,137.51x = 12,704,179,526.37
  5. Step 5: Solve for x
    x = 12,704,179,526.37/180,137.51
  6. Step 6: Final answer
    x = 70,524.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.