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Finding the Fourth Proportional to 216,414.28, 298,653.20 and 120,925

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Solution

The fourth proportional to 216,414.28, 298,653.20 and 120,925 is: 166,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,414.28 : 298,653.20 = 120,925 : x
  2. Step 2: Convert to fraction form
    216,414.28/298,653.20 = 120,925/x
  3. Step 3: Cross multiply
    216,414.28x = 298,653.20 × 120,925
  4. Step 4: Simplify right side
    216,414.28x = 36,114,638,210
  5. Step 5: Solve for x
    x = 36,114,638,210/216,414.28
  6. Step 6: Final answer
    x = 166,877.33

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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.