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Finding the Fourth Proportional to 98,196.24, 147,250.62 and 35,823

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Solution

The fourth proportional to 98,196.24, 147,250.62 and 35,823 is: 53,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196.24 : 147,250.62 = 35,823 : x
  2. Step 2: Convert to fraction form
    98,196.24/147,250.62 = 35,823/x
  3. Step 3: Cross multiply
    98,196.24x = 147,250.62 × 35,823
  4. Step 4: Simplify right side
    98,196.24x = 5,274,958,960.26
  5. Step 5: Solve for x
    x = 5,274,958,960.26/98,196.24
  6. Step 6: Final answer
    x = 53,718.54

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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.