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Finding the Fourth Proportional to 202,244.83, 303,367.24 and 189,778.93

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Solution

The fourth proportional to 202,244.83, 303,367.24 and 189,778.93 is: 284,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,244.83 : 303,367.24 = 189,778.93 : x
  2. Step 2: Convert to fraction form
    202,244.83/303,367.24 = 189,778.93/x
  3. Step 3: Cross multiply
    202,244.83x = 303,367.24 × 189,778.93
  4. Step 4: Simplify right side
    202,244.83x = 57,572,710,204.25
  5. Step 5: Solve for x
    x = 57,572,710,204.25/202,244.83
  6. Step 6: Final answer
    x = 284,668.39

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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.