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Finding the Fourth Proportional to 70,117.26, 105,176.80 and 20,198.18

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Solution

The fourth proportional to 70,117.26, 105,176.80 and 20,198.18 is: 30,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117.26 : 105,176.80 = 20,198.18 : x
  2. Step 2: Convert to fraction form
    70,117.26/105,176.80 = 20,198.18/x
  3. Step 3: Cross multiply
    70,117.26x = 105,176.80 × 20,198.18
  4. Step 4: Simplify right side
    70,117.26x = 2,124,379,938.22
  5. Step 5: Solve for x
    x = 2,124,379,938.22/70,117.26
  6. Step 6: Final answer
    x = 30,297.53

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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.