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Finding the Fourth Proportional to 199,608.40, 298,975.20 and 106,004.80

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Solution

The fourth proportional to 199,608.40, 298,975.20 and 106,004.80 is: 158,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,608.40 : 298,975.20 = 106,004.80 : x
  2. Step 2: Convert to fraction form
    199,608.40/298,975.20 = 106,004.80/x
  3. Step 3: Cross multiply
    199,608.40x = 298,975.20 × 106,004.80
  4. Step 4: Simplify right side
    199,608.40x = 31,692,806,280.96
  5. Step 5: Solve for x
    x = 31,692,806,280.96/199,608.40
  6. Step 6: Final answer
    x = 158,774.91

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1.5x scale

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.