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Finding the Fourth Proportional to 202,337.80, 303,506.70 and 199,385.35

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Solution

The fourth proportional to 202,337.80, 303,506.70 and 199,385.35 is: 299,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,337.80 : 303,506.70 = 199,385.35 : x
  2. Step 2: Convert to fraction form
    202,337.80/303,506.70 = 199,385.35/x
  3. Step 3: Cross multiply
    202,337.80x = 303,506.70 × 199,385.35
  4. Step 4: Simplify right side
    202,337.80x = 60,514,789,606.85
  5. Step 5: Solve for x
    x = 60,514,789,606.85/202,337.80
  6. Step 6: Final answer
    x = 299,078.03

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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.