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Finding the Fourth Proportional to 216,668.52, 324,214.92 and 178,877.16

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Solution

The fourth proportional to 216,668.52, 324,214.92 and 178,877.16 is: 267,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,668.52 : 324,214.92 = 178,877.16 : x
  2. Step 2: Convert to fraction form
    216,668.52/324,214.92 = 178,877.16/x
  3. Step 3: Cross multiply
    216,668.52x = 324,214.92 × 178,877.16
  4. Step 4: Simplify right side
    216,668.52x = 57,994,644,119.23
  5. Step 5: Solve for x
    x = 57,994,644,119.23/216,668.52
  6. Step 6: Final answer
    x = 267,665.30

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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.