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Finding the Fourth Proportional to 149,297.26, 223,977.48 and 49,451.80

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Solution

The fourth proportional to 149,297.26, 223,977.48 and 49,451.80 is: 74,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,297.26 : 223,977.48 = 49,451.80 : x
  2. Step 2: Convert to fraction form
    149,297.26/223,977.48 = 49,451.80/x
  3. Step 3: Cross multiply
    149,297.26x = 223,977.48 × 49,451.80
  4. Step 4: Simplify right side
    149,297.26x = 11,076,089,545.46
  5. Step 5: Solve for x
    x = 11,076,089,545.46/149,297.26
  6. Step 6: Final answer
    x = 74,188.16

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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.