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Finding the Fourth Proportional to 201,900.80, 302,741.85 and 83,438.30

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Solution

The fourth proportional to 201,900.80, 302,741.85 and 83,438.30 is: 125,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.80 : 302,741.85 = 83,438.30 : x
  2. Step 2: Convert to fraction form
    201,900.80/302,741.85 = 83,438.30/x
  3. Step 3: Cross multiply
    201,900.80x = 302,741.85 × 83,438.30
  4. Step 4: Simplify right side
    201,900.80x = 25,260,265,302.86
  5. Step 5: Solve for x
    x = 25,260,265,302.86/201,900.80
  6. Step 6: Final answer
    x = 125,112.26

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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.