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Finding the Fourth Proportional to 265,876.05, 398,561.81 and 106,050.27

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Solution

The fourth proportional to 265,876.05, 398,561.81 and 106,050.27 is: 158,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,876.05 : 398,561.81 = 106,050.27 : x
  2. Step 2: Convert to fraction form
    265,876.05/398,561.81 = 106,050.27/x
  3. Step 3: Cross multiply
    265,876.05x = 398,561.81 × 106,050.27
  4. Step 4: Simplify right side
    265,876.05x = 42,267,587,031.94
  5. Step 5: Solve for x
    x = 42,267,587,031.94/265,876.05
  6. Step 6: Final answer
    x = 158,974.78

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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.