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Finding the Fourth Proportional to 216,086.94, 298,199.43 and 120,592.62

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Solution

The fourth proportional to 216,086.94, 298,199.43 and 120,592.62 is: 166,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.94 : 298,199.43 = 120,592.62 : x
  2. Step 2: Convert to fraction form
    216,086.94/298,199.43 = 120,592.62/x
  3. Step 3: Cross multiply
    216,086.94x = 298,199.43 × 120,592.62
  4. Step 4: Simplify right side
    216,086.94x = 35,960,650,546.21
  5. Step 5: Solve for x
    x = 35,960,650,546.21/216,086.94
  6. Step 6: Final answer
    x = 166,417.51

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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.