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Finding the Fourth Proportional to 215,909.30, 324,144.59 and 166,024.42

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Solution

The fourth proportional to 215,909.30, 324,144.59 and 166,024.42 is: 249,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,909.30 : 324,144.59 = 166,024.42 : x
  2. Step 2: Convert to fraction form
    215,909.30/324,144.59 = 166,024.42/x
  3. Step 3: Cross multiply
    215,909.30x = 324,144.59 × 166,024.42
  4. Step 4: Simplify right side
    215,909.30x = 53,815,918,328.51
  5. Step 5: Solve for x
    x = 53,815,918,328.51/215,909.30
  6. Step 6: Final answer
    x = 249,252.43

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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.