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Finding the Fourth Proportional to 269,893.75, 404,897.72 and 101,415.54

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Solution

The fourth proportional to 269,893.75, 404,897.72 and 101,415.54 is: 152,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,893.75 : 404,897.72 = 101,415.54 : x
  2. Step 2: Convert to fraction form
    269,893.75/404,897.72 = 101,415.54/x
  3. Step 3: Cross multiply
    269,893.75x = 404,897.72 × 101,415.54
  4. Step 4: Simplify right side
    269,893.75x = 41,062,919,884.60
  5. Step 5: Solve for x
    x = 41,062,919,884.60/269,893.75
  6. Step 6: Final answer
    x = 152,144.76

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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.