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Finding the Fourth Proportional to 202,563.94, 303,074.97 and 122,306.50

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Solution

The fourth proportional to 202,563.94, 303,074.97 and 122,306.50 is: 182,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,563.94 : 303,074.97 = 122,306.50 : x
  2. Step 2: Convert to fraction form
    202,563.94/303,074.97 = 122,306.50/x
  3. Step 3: Cross multiply
    202,563.94x = 303,074.97 × 122,306.50
  4. Step 4: Simplify right side
    202,563.94x = 37,068,038,818.31
  5. Step 5: Solve for x
    x = 37,068,038,818.31/202,563.94
  6. Step 6: Final answer
    x = 182,994.26

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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.