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Finding the Fourth Proportional to 202,415.70, 303,623.55 and 199,305.30

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Solution

The fourth proportional to 202,415.70, 303,623.55 and 199,305.30 is: 298,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,415.70 : 303,623.55 = 199,305.30 : x
  2. Step 2: Convert to fraction form
    202,415.70/303,623.55 = 199,305.30/x
  3. Step 3: Cross multiply
    202,415.70x = 303,623.55 × 199,305.30
  4. Step 4: Simplify right side
    202,415.70x = 60,513,782,719.82
  5. Step 5: Solve for x
    x = 60,513,782,719.82/202,415.70
  6. Step 6: Final answer
    x = 298,957.95

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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.