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Finding the Fourth Proportional to 202,571.94, 303,086.94 and 122,314.50

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Solution

The fourth proportional to 202,571.94, 303,086.94 and 122,314.50 is: 183,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,571.94 : 303,086.94 = 122,314.50 : x
  2. Step 2: Convert to fraction form
    202,571.94/303,086.94 = 122,314.50/x
  3. Step 3: Cross multiply
    202,571.94x = 303,086.94 × 122,314.50
  4. Step 4: Simplify right side
    202,571.94x = 37,071,927,522.63
  5. Step 5: Solve for x
    x = 37,071,927,522.63/202,571.94
  6. Step 6: Final answer
    x = 183,006.23

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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.