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Finding the Fourth Proportional to 215,989, 298,063.96 and 120,495.58

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Solution

The fourth proportional to 215,989, 298,063.96 and 120,495.58 is: 166,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,989 : 298,063.96 = 120,495.58 : x
  2. Step 2: Convert to fraction form
    215,989/298,063.96 = 120,495.58/x
  3. Step 3: Cross multiply
    215,989x = 298,063.96 × 120,495.58
  4. Step 4: Simplify right side
    215,989x = 35,915,389,737.30
  5. Step 5: Solve for x
    x = 35,915,389,737.30/215,989
  6. Step 6: Final answer
    x = 166,283.42

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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.