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Finding the Fourth Proportional to 100,176.40, 150,245.40 and 30,055.60

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Solution

The fourth proportional to 100,176.40, 150,245.40 and 30,055.60 is: 45,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.40 : 150,245.40 = 30,055.60 : x
  2. Step 2: Convert to fraction form
    100,176.40/150,245.40 = 30,055.60/x
  3. Step 3: Cross multiply
    100,176.40x = 150,245.40 × 30,055.60
  4. Step 4: Simplify right side
    100,176.40x = 4,515,715,644.24
  5. Step 5: Solve for x
    x = 4,515,715,644.24/100,176.40
  6. Step 6: Final answer
    x = 45,077.64

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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.