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Finding the Fourth Proportional to 216,711.20, 298,743.17 and 151,984.20

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Solution

The fourth proportional to 216,711.20, 298,743.17 and 151,984.20 is: 209,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,711.20 : 298,743.17 = 151,984.20 : x
  2. Step 2: Convert to fraction form
    216,711.20/298,743.17 = 151,984.20/x
  3. Step 3: Cross multiply
    216,711.20x = 298,743.17 × 151,984.20
  4. Step 4: Simplify right side
    216,711.20x = 45,404,241,873.94
  5. Step 5: Solve for x
    x = 45,404,241,873.94/216,711.20
  6. Step 6: Final answer
    x = 209,514.98

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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.