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Finding the Fourth Proportional to 276,167.01, 413,911.31 and 142,971.33

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Solution

The fourth proportional to 276,167.01, 413,911.31 and 142,971.33 is: 214,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,167.01 : 413,911.31 = 142,971.33 : x
  2. Step 2: Convert to fraction form
    276,167.01/413,911.31 = 142,971.33/x
  3. Step 3: Cross multiply
    276,167.01x = 413,911.31 × 142,971.33
  4. Step 4: Simplify right side
    276,167.01x = 59,177,449,777.89
  5. Step 5: Solve for x
    x = 59,177,449,777.89/276,167.01
  6. Step 6: Final answer
    x = 214,281.39

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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.