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Finding the Fourth Proportional to 106,278.80, 159,418.20 and 71,027.60

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Solution

The fourth proportional to 106,278.80, 159,418.20 and 71,027.60 is: 106,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,278.80 : 159,418.20 = 71,027.60 : x
  2. Step 2: Convert to fraction form
    106,278.80/159,418.20 = 71,027.60/x
  3. Step 3: Cross multiply
    106,278.80x = 159,418.20 × 71,027.60
  4. Step 4: Simplify right side
    106,278.80x = 11,323,092,142.32
  5. Step 5: Solve for x
    x = 11,323,092,142.32/106,278.80
  6. Step 6: Final answer
    x = 106,541.40

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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.