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Finding the Fourth Proportional to 202,574.94, 303,091.44 and 122,317.50

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Solution

The fourth proportional to 202,574.94, 303,091.44 and 122,317.50 is: 183,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,574.94 : 303,091.44 = 122,317.50 : x
  2. Step 2: Convert to fraction form
    202,574.94/303,091.44 = 122,317.50/x
  3. Step 3: Cross multiply
    202,574.94x = 303,091.44 × 122,317.50
  4. Step 4: Simplify right side
    202,574.94x = 37,073,387,212.20
  5. Step 5: Solve for x
    x = 37,073,387,212.20/202,574.94
  6. Step 6: Final answer
    x = 183,010.73

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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.