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Finding the Fourth Proportional to 123,764.50, 185,650.40 and 30,270.25

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Solution

The fourth proportional to 123,764.50, 185,650.40 and 30,270.25 is: 45,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,764.50 : 185,650.40 = 30,270.25 : x
  2. Step 2: Convert to fraction form
    123,764.50/185,650.40 = 30,270.25/x
  3. Step 3: Cross multiply
    123,764.50x = 185,650.40 × 30,270.25
  4. Step 4: Simplify right side
    123,764.50x = 5,619,684,020.60
  5. Step 5: Solve for x
    x = 5,619,684,020.60/123,764.50
  6. Step 6: Final answer
    x = 45,406.27

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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.