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Finding the Fourth Proportional to 202,092.84, 303,135.62 and 83,763.99

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Solution

The fourth proportional to 202,092.84, 303,135.62 and 83,763.99 is: 125,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.84 : 303,135.62 = 83,763.99 : x
  2. Step 2: Convert to fraction form
    202,092.84/303,135.62 = 83,763.99/x
  3. Step 3: Cross multiply
    202,092.84x = 303,135.62 × 83,763.99
  4. Step 4: Simplify right side
    202,092.84x = 25,391,848,623.50
  5. Step 5: Solve for x
    x = 25,391,848,623.50/202,092.84
  6. Step 6: Final answer
    x = 125,644.47

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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.