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Finding the Fourth Proportional to 198,611.57, 298,051.30 and 73,952.57

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Solution

The fourth proportional to 198,611.57, 298,051.30 and 73,952.57 is: 110,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,611.57 : 298,051.30 = 73,952.57 : x
  2. Step 2: Convert to fraction form
    198,611.57/298,051.30 = 73,952.57/x
  3. Step 3: Cross multiply
    198,611.57x = 298,051.30 × 73,952.57
  4. Step 4: Simplify right side
    198,611.57x = 22,041,658,136.58
  5. Step 5: Solve for x
    x = 22,041,658,136.58/198,611.57
  6. Step 6: Final answer
    x = 110,978.72

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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.