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Finding the Fourth Proportional to 235,450.26, 352,976.31 and 102,229.74

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Solution

The fourth proportional to 235,450.26, 352,976.31 and 102,229.74 is: 153,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,450.26 : 352,976.31 = 102,229.74 : x
  2. Step 2: Convert to fraction form
    235,450.26/352,976.31 = 102,229.74/x
  3. Step 3: Cross multiply
    235,450.26x = 352,976.31 × 102,229.74
  4. Step 4: Simplify right side
    235,450.26x = 36,084,676,397.46
  5. Step 5: Solve for x
    x = 36,084,676,397.46/235,450.26
  6. Step 6: Final answer
    x = 153,258.17

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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.