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Finding the Fourth Proportional to 223,705.26, 308,910.15 and 152,255.97

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Solution

The fourth proportional to 223,705.26, 308,910.15 and 152,255.97 is: 210,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,705.26 : 308,910.15 = 152,255.97 : x
  2. Step 2: Convert to fraction form
    223,705.26/308,910.15 = 152,255.97/x
  3. Step 3: Cross multiply
    223,705.26x = 308,910.15 × 152,255.97
  4. Step 4: Simplify right side
    223,705.26x = 47,033,414,531.10
  5. Step 5: Solve for x
    x = 47,033,414,531.10/223,705.26
  6. Step 6: Final answer
    x = 210,247.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.