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Finding the Fourth Proportional to 199,101.60, 299,113.20 and 136,893.60

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Solution

The fourth proportional to 199,101.60, 299,113.20 and 136,893.60 is: 205,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,101.60 : 299,113.20 = 136,893.60 : x
  2. Step 2: Convert to fraction form
    199,101.60/299,113.20 = 136,893.60/x
  3. Step 3: Cross multiply
    199,101.60x = 299,113.20 × 136,893.60
  4. Step 4: Simplify right side
    199,101.60x = 40,946,682,755.52
  5. Step 5: Solve for x
    x = 40,946,682,755.52/199,101.60
  6. Step 6: Final answer
    x = 205,657.23

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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.