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Finding the Fourth Proportional to 200,392.83, 298,820.96 and 198,593.11

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Solution

The fourth proportional to 200,392.83, 298,820.96 and 198,593.11 is: 296,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,392.83 : 298,820.96 = 198,593.11 : x
  2. Step 2: Convert to fraction form
    200,392.83/298,820.96 = 198,593.11/x
  3. Step 3: Cross multiply
    200,392.83x = 298,820.96 × 198,593.11
  4. Step 4: Simplify right side
    200,392.83x = 59,343,782,039.57
  5. Step 5: Solve for x
    x = 59,343,782,039.57/200,392.83
  6. Step 6: Final answer
    x = 296,137.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.