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Finding the Fourth Proportional to 90,148.98, 135,112.69 and 50,623

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Solution

The fourth proportional to 90,148.98, 135,112.69 and 50,623 is: 75,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148.98 : 135,112.69 = 50,623 : x
  2. Step 2: Convert to fraction form
    90,148.98/135,112.69 = 50,623/x
  3. Step 3: Cross multiply
    90,148.98x = 135,112.69 × 50,623
  4. Step 4: Simplify right side
    90,148.98x = 6,839,809,705.87
  5. Step 5: Solve for x
    x = 6,839,809,705.87/90,148.98
  6. Step 6: Final answer
    x = 75,872.29

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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.