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Finding the Fourth Proportional to 199,296.40, 298,944.60 and 146,808.40

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Solution

The fourth proportional to 199,296.40, 298,944.60 and 146,808.40 is: 220,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,296.40 : 298,944.60 = 146,808.40 : x
  2. Step 2: Convert to fraction form
    199,296.40/298,944.60 = 146,808.40/x
  3. Step 3: Cross multiply
    199,296.40x = 298,944.60 × 146,808.40
  4. Step 4: Simplify right side
    199,296.40x = 43,887,578,414.64
  5. Step 5: Solve for x
    x = 43,887,578,414.64/199,296.40
  6. Step 6: Final answer
    x = 220,212.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.