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Finding the Fourth Proportional to 216,203.81, 298,348.71 and 120,716.55

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Solution

The fourth proportional to 216,203.81, 298,348.71 and 120,716.55 is: 166,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,203.81 : 298,348.71 = 120,716.55 : x
  2. Step 2: Convert to fraction form
    216,203.81/298,348.71 = 120,716.55/x
  3. Step 3: Cross multiply
    216,203.81x = 298,348.71 × 120,716.55
  4. Step 4: Simplify right side
    216,203.81x = 36,015,626,968.15
  5. Step 5: Solve for x
    x = 36,015,626,968.15/216,203.81
  6. Step 6: Final answer
    x = 166,581.83

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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.