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Finding the Fourth Proportional to 202,083.93, 278,874.14 and 111,443.67

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Solution

The fourth proportional to 202,083.93, 278,874.14 and 111,443.67 is: 153,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083.93 : 278,874.14 = 111,443.67 : x
  2. Step 2: Convert to fraction form
    202,083.93/278,874.14 = 111,443.67/x
  3. Step 3: Cross multiply
    202,083.93x = 278,874.14 × 111,443.67
  4. Step 4: Simplify right side
    202,083.93x = 31,078,757,072.48
  5. Step 5: Solve for x
    x = 31,078,757,072.48/202,083.93
  6. Step 6: Final answer
    x = 153,791.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.