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Finding the Fourth Proportional to 289,191.47, 399,084.09 and 161,867.03

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Solution

The fourth proportional to 289,191.47, 399,084.09 and 161,867.03 is: 223,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,191.47 : 399,084.09 = 161,867.03 : x
  2. Step 2: Convert to fraction form
    289,191.47/399,084.09 = 161,867.03/x
  3. Step 3: Cross multiply
    289,191.47x = 399,084.09 × 161,867.03
  4. Step 4: Simplify right side
    289,191.47x = 64,598,556,368.55
  5. Step 5: Solve for x
    x = 64,598,556,368.55/289,191.47
  6. Step 6: Final answer
    x = 223,376.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.