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Finding the Fourth Proportional to 215,957.96, 298,028.32 and 120,462.60

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Solution

The fourth proportional to 215,957.96, 298,028.32 and 120,462.60 is: 166,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,957.96 : 298,028.32 = 120,462.60 : x
  2. Step 2: Convert to fraction form
    215,957.96/298,028.32 = 120,462.60/x
  3. Step 3: Cross multiply
    215,957.96x = 298,028.32 × 120,462.60
  4. Step 4: Simplify right side
    215,957.96x = 35,901,266,300.83
  5. Step 5: Solve for x
    x = 35,901,266,300.83/215,957.96
  6. Step 6: Final answer
    x = 166,241.92

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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.