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Finding the Fourth Proportional to 201,485.44, 302,228.16 and 83,026.68

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Solution

The fourth proportional to 201,485.44, 302,228.16 and 83,026.68 is: 124,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,485.44 : 302,228.16 = 83,026.68 : x
  2. Step 2: Convert to fraction form
    201,485.44/302,228.16 = 83,026.68/x
  3. Step 3: Cross multiply
    201,485.44x = 302,228.16 × 83,026.68
  4. Step 4: Simplify right side
    201,485.44x = 25,093,000,727.31
  5. Step 5: Solve for x
    x = 25,093,000,727.31/201,485.44
  6. Step 6: Final answer
    x = 124,540.02

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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.