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Finding the Fourth Proportional to 205,258.48, 307,976.42 and 110,377.77

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Solution

The fourth proportional to 205,258.48, 307,976.42 and 110,377.77 is: 165,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,258.48 : 307,976.42 = 110,377.77 : x
  2. Step 2: Convert to fraction form
    205,258.48/307,976.42 = 110,377.77/x
  3. Step 3: Cross multiply
    205,258.48x = 307,976.42 × 110,377.77
  4. Step 4: Simplify right side
    205,258.48x = 33,993,750,452.18
  5. Step 5: Solve for x
    x = 33,993,750,452.18/205,258.48
  6. Step 6: Final answer
    x = 165,614.35

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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.