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Finding the Fourth Proportional to 199,201.60, 298,855.20 and 86,833.60

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Solution

The fourth proportional to 199,201.60, 298,855.20 and 86,833.60 is: 130,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,201.60 : 298,855.20 = 86,833.60 : x
  2. Step 2: Convert to fraction form
    199,201.60/298,855.20 = 86,833.60/x
  3. Step 3: Cross multiply
    199,201.60x = 298,855.20 × 86,833.60
  4. Step 4: Simplify right side
    199,201.60x = 25,950,672,894.72
  5. Step 5: Solve for x
    x = 25,950,672,894.72/199,201.60
  6. Step 6: Final answer
    x = 130,273.42

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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.