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Finding the Fourth Proportional to 220,610.24, 304,442.40 and 120,008

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Solution

The fourth proportional to 220,610.24, 304,442.40 and 120,008 is: 165,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,610.24 : 304,442.40 = 120,008 : x
  2. Step 2: Convert to fraction form
    220,610.24/304,442.40 = 120,008/x
  3. Step 3: Cross multiply
    220,610.24x = 304,442.40 × 120,008
  4. Step 4: Simplify right side
    220,610.24x = 36,535,523,539.20
  5. Step 5: Solve for x
    x = 36,535,523,539.20/220,610.24
  6. Step 6: Final answer
    x = 165,611.19

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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.