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Finding the Fourth Proportional to 216,151.43, 298,276.58 and 120,664.17

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Solution

The fourth proportional to 216,151.43, 298,276.58 and 120,664.17 is: 166,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,151.43 : 298,276.58 = 120,664.17 : x
  2. Step 2: Convert to fraction form
    216,151.43/298,276.58 = 120,664.17/x
  3. Step 3: Cross multiply
    216,151.43x = 298,276.58 × 120,664.17
  4. Step 4: Simplify right side
    216,151.43x = 35,991,296,257.80
  5. Step 5: Solve for x
    x = 35,991,296,257.80/216,151.43
  6. Step 6: Final answer
    x = 166,509.64

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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.