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Finding the Fourth Proportional to 265,048.87, 397,571.48 and 107,275.05

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Solution

The fourth proportional to 265,048.87, 397,571.48 and 107,275.05 is: 160,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,048.87 : 397,571.48 = 107,275.05 : x
  2. Step 2: Convert to fraction form
    265,048.87/397,571.48 = 107,275.05/x
  3. Step 3: Cross multiply
    265,048.87x = 397,571.48 × 107,275.05
  4. Step 4: Simplify right side
    265,048.87x = 42,649,498,407.72
  5. Step 5: Solve for x
    x = 42,649,498,407.72/265,048.87
  6. Step 6: Final answer
    x = 160,911.83

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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.