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Finding the Fourth Proportional to 216,144.42, 298,273.10 and 120,649.08

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Solution

The fourth proportional to 216,144.42, 298,273.10 and 120,649.08 is: 166,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,144.42 : 298,273.10 = 120,649.08 : x
  2. Step 2: Convert to fraction form
    216,144.42/298,273.10 = 120,649.08/x
  3. Step 3: Cross multiply
    216,144.42x = 298,273.10 × 120,649.08
  4. Step 4: Simplify right side
    216,144.42x = 35,986,375,103.75
  5. Step 5: Solve for x
    x = 35,986,375,103.75/216,144.42
  6. Step 6: Final answer
    x = 166,492.27

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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.