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Finding the Fourth Proportional to 105,175.94, 157,764.32 and 26,290.26

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Solution

The fourth proportional to 105,175.94, 157,764.32 and 26,290.26 is: 39,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,175.94 : 157,764.32 = 26,290.26 : x
  2. Step 2: Convert to fraction form
    105,175.94/157,764.32 = 26,290.26/x
  3. Step 3: Cross multiply
    105,175.94x = 157,764.32 × 26,290.26
  4. Step 4: Simplify right side
    105,175.94x = 4,147,664,991.52
  5. Step 5: Solve for x
    x = 4,147,664,991.52/105,175.94
  6. Step 6: Final answer
    x = 39,435.49

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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.