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Finding the Fourth Proportional to 98,185.96, 147,297.30 and 53,788.24

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Solution

The fourth proportional to 98,185.96, 147,297.30 and 53,788.24 is: 80,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,185.96 : 147,297.30 = 53,788.24 : x
  2. Step 2: Convert to fraction form
    98,185.96/147,297.30 = 53,788.24/x
  3. Step 3: Cross multiply
    98,185.96x = 147,297.30 × 53,788.24
  4. Step 4: Simplify right side
    98,185.96x = 7,922,862,523.75
  5. Step 5: Solve for x
    x = 7,922,862,523.75/98,185.96
  6. Step 6: Final answer
    x = 80,692.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.