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Finding the Fourth Proportional to 175,072, 262,608.32 and 43,744

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Solution

The fourth proportional to 175,072, 262,608.32 and 43,744 is: 65,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,072 : 262,608.32 = 43,744 : x
  2. Step 2: Convert to fraction form
    175,072/262,608.32 = 43,744/x
  3. Step 3: Cross multiply
    175,072x = 262,608.32 × 43,744
  4. Step 4: Simplify right side
    175,072x = 11,487,538,350.08
  5. Step 5: Solve for x
    x = 11,487,538,350.08/175,072
  6. Step 6: Final answer
    x = 65,616.08

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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.