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Finding the Fourth Proportional to 174,772, 262,158.96 and 43,444

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Solution

The fourth proportional to 174,772, 262,158.96 and 43,444 is: 65,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772 : 262,158.96 = 43,444 : x
  2. Step 2: Convert to fraction form
    174,772/262,158.96 = 43,444/x
  3. Step 3: Cross multiply
    174,772x = 262,158.96 × 43,444
  4. Step 4: Simplify right side
    174,772x = 11,389,233,858.24
  5. Step 5: Solve for x
    x = 11,389,233,858.24/174,772
  6. Step 6: Final answer
    x = 65,166.24

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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.