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Finding the Fourth Proportional to 199,311.60, 298,967.40 and 179,628.60

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Solution

The fourth proportional to 199,311.60, 298,967.40 and 179,628.60 is: 269,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,311.60 : 298,967.40 = 179,628.60 : x
  2. Step 2: Convert to fraction form
    199,311.60/298,967.40 = 179,628.60/x
  3. Step 3: Cross multiply
    199,311.60x = 298,967.40 × 179,628.60
  4. Step 4: Simplify right side
    199,311.60x = 53,703,095,507.64
  5. Step 5: Solve for x
    x = 53,703,095,507.64/199,311.60
  6. Step 6: Final answer
    x = 269,442.90

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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.