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Finding the Fourth Proportional to 199,094.30, 298,640.90 and 163,959.74

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Solution

The fourth proportional to 199,094.30, 298,640.90 and 163,959.74 is: 245,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,094.30 : 298,640.90 = 163,959.74 : x
  2. Step 2: Convert to fraction form
    199,094.30/298,640.90 = 163,959.74/x
  3. Step 3: Cross multiply
    199,094.30x = 298,640.90 × 163,959.74
  4. Step 4: Simplify right side
    199,094.30x = 48,965,084,317.37
  5. Step 5: Solve for x
    x = 48,965,084,317.37/199,094.30
  6. Step 6: Final answer
    x = 245,939.16

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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.