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Finding the Fourth Proportional to 201,802.75, 302,704.50 and 189,471.66

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Solution

The fourth proportional to 201,802.75, 302,704.50 and 189,471.66 is: 284,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802.75 : 302,704.50 = 189,471.66 : x
  2. Step 2: Convert to fraction form
    201,802.75/302,704.50 = 189,471.66/x
  3. Step 3: Cross multiply
    201,802.75x = 302,704.50 × 189,471.66
  4. Step 4: Simplify right side
    201,802.75x = 57,353,924,104.47
  5. Step 5: Solve for x
    x = 57,353,924,104.47/201,802.75
  6. Step 6: Final answer
    x = 284,207.84

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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.