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Finding the Fourth Proportional to 265,772.33, 398,821.26 and 105,924.95

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Solution

The fourth proportional to 265,772.33, 398,821.26 and 105,924.95 is: 158,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,772.33 : 398,821.26 = 105,924.95 : x
  2. Step 2: Convert to fraction form
    265,772.33/398,821.26 = 105,924.95/x
  3. Step 3: Cross multiply
    265,772.33x = 398,821.26 × 105,924.95
  4. Step 4: Simplify right side
    265,772.33x = 42,245,120,030.33
  5. Step 5: Solve for x
    x = 42,245,120,030.33/265,772.33
  6. Step 6: Final answer
    x = 158,952.29

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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.