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Finding the Fourth Proportional to 192,627.57, 265,826.34 and 107,744.64

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Solution

The fourth proportional to 192,627.57, 265,826.34 and 107,744.64 is: 148,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,627.57 : 265,826.34 = 107,744.64 : x
  2. Step 2: Convert to fraction form
    192,627.57/265,826.34 = 107,744.64/x
  3. Step 3: Cross multiply
    192,627.57x = 265,826.34 × 107,744.64
  4. Step 4: Simplify right side
    192,627.57x = 28,641,363,305.82
  5. Step 5: Solve for x
    x = 28,641,363,305.82/192,627.57
  6. Step 6: Final answer
    x = 148,687.77

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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.