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Finding the Fourth Proportional to 202,023.50, 303,079 and 77,364.50

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Solution

The fourth proportional to 202,023.50, 303,079 and 77,364.50 is: 116,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,023.50 : 303,079 = 77,364.50 : x
  2. Step 2: Convert to fraction form
    202,023.50/303,079 = 77,364.50/x
  3. Step 3: Cross multiply
    202,023.50x = 303,079 × 77,364.50
  4. Step 4: Simplify right side
    202,023.50x = 23,447,555,295.50
  5. Step 5: Solve for x
    x = 23,447,555,295.50/202,023.50
  6. Step 6: Final answer
    x = 116,063.50

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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.