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Finding the Fourth Proportional to 201,682.20, 302,523.30 and 83,438.40

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Solution

The fourth proportional to 201,682.20, 302,523.30 and 83,438.40 is: 125,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.20 : 302,523.30 = 83,438.40 : x
  2. Step 2: Convert to fraction form
    201,682.20/302,523.30 = 83,438.40/x
  3. Step 3: Cross multiply
    201,682.20x = 302,523.30 × 83,438.40
  4. Step 4: Simplify right side
    201,682.20x = 25,242,060,114.72
  5. Step 5: Solve for x
    x = 25,242,060,114.72/201,682.20
  6. Step 6: Final answer
    x = 125,157.60

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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.