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Finding the Fourth Proportional to 202,010.44, 278,794.12 and 150,934.54

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Solution

The fourth proportional to 202,010.44, 278,794.12 and 150,934.54 is: 208,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,010.44 : 278,794.12 = 150,934.54 : x
  2. Step 2: Convert to fraction form
    202,010.44/278,794.12 = 150,934.54/x
  3. Step 3: Cross multiply
    202,010.44x = 278,794.12 × 150,934.54
  4. Step 4: Simplify right side
    202,010.44x = 42,079,662,256.90
  5. Step 5: Solve for x
    x = 42,079,662,256.90/202,010.44
  6. Step 6: Final answer
    x = 208,304.39

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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.