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Finding the Fourth Proportional to 209,408.34, 289,090.53 and 161,554.26

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Solution

The fourth proportional to 209,408.34, 289,090.53 and 161,554.26 is: 223,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.34 : 289,090.53 = 161,554.26 : x
  2. Step 2: Convert to fraction form
    209,408.34/289,090.53 = 161,554.26/x
  3. Step 3: Cross multiply
    209,408.34x = 289,090.53 × 161,554.26
  4. Step 4: Simplify right side
    209,408.34x = 46,703,806,647.16
  5. Step 5: Solve for x
    x = 46,703,806,647.16/209,408.34
  6. Step 6: Final answer
    x = 223,027.44

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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.