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Finding the Fourth Proportional to 199,070.80, 298,606.20 and 164,078.80

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Solution

The fourth proportional to 199,070.80, 298,606.20 and 164,078.80 is: 246,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070.80 : 298,606.20 = 164,078.80 : x
  2. Step 2: Convert to fraction form
    199,070.80/298,606.20 = 164,078.80/x
  3. Step 3: Cross multiply
    199,070.80x = 298,606.20 × 164,078.80
  4. Step 4: Simplify right side
    199,070.80x = 48,994,946,968.56
  5. Step 5: Solve for x
    x = 48,994,946,968.56/199,070.80
  6. Step 6: Final answer
    x = 246,118.20

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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.