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Finding the Fourth Proportional to 199,296.40, 298,944.60 and 177,523.60

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Solution

The fourth proportional to 199,296.40, 298,944.60 and 177,523.60 is: 266,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,296.40 : 298,944.60 = 177,523.60 : x
  2. Step 2: Convert to fraction form
    199,296.40/298,944.60 = 177,523.60/x
  3. Step 3: Cross multiply
    199,296.40x = 298,944.60 × 177,523.60
  4. Step 4: Simplify right side
    199,296.40x = 53,069,721,592.56
  5. Step 5: Solve for x
    x = 53,069,721,592.56/199,296.40
  6. Step 6: Final answer
    x = 266,285.40

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Why These Related Problems?

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