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Finding the Fourth Proportional to 216,035.36, 298,134.60 and 120,541.76

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Solution

The fourth proportional to 216,035.36, 298,134.60 and 120,541.76 is: 166,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,035.36 : 298,134.60 = 120,541.76 : x
  2. Step 2: Convert to fraction form
    216,035.36/298,134.60 = 120,541.76/x
  3. Step 3: Cross multiply
    216,035.36x = 298,134.60 × 120,541.76
  4. Step 4: Simplify right side
    216,035.36x = 35,937,669,400.90
  5. Step 5: Solve for x
    x = 35,937,669,400.90/216,035.36
  6. Step 6: Final answer
    x = 166,350.87

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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.