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Finding the Fourth Proportional to 98,234.50, 147,351.75 and 35,905

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Solution

The fourth proportional to 98,234.50, 147,351.75 and 35,905 is: 53,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.50 : 147,351.75 = 35,905 : x
  2. Step 2: Convert to fraction form
    98,234.50/147,351.75 = 35,905/x
  3. Step 3: Cross multiply
    98,234.50x = 147,351.75 × 35,905
  4. Step 4: Simplify right side
    98,234.50x = 5,290,664,583.75
  5. Step 5: Solve for x
    x = 5,290,664,583.75/98,234.50
  6. Step 6: Final answer
    x = 53,857.50

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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.