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Finding the Fourth Proportional to 202,636.36, 303,768.54 and 77,883.40

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Solution

The fourth proportional to 202,636.36, 303,768.54 and 77,883.40 is: 116,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,636.36 : 303,768.54 = 77,883.40 : x
  2. Step 2: Convert to fraction form
    202,636.36/303,768.54 = 77,883.40/x
  3. Step 3: Cross multiply
    202,636.36x = 303,768.54 × 77,883.40
  4. Step 4: Simplify right side
    202,636.36x = 23,658,526,708.24
  5. Step 5: Solve for x
    x = 23,658,526,708.24/202,636.36
  6. Step 6: Final answer
    x = 116,753.61

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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.