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Finding the Fourth Proportional to 221,944.50, 306,284.49 and 121,342.50

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Solution

The fourth proportional to 221,944.50, 306,284.49 and 121,342.50 is: 167,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944.50 : 306,284.49 = 121,342.50 : x
  2. Step 2: Convert to fraction form
    221,944.50/306,284.49 = 121,342.50/x
  3. Step 3: Cross multiply
    221,944.50x = 306,284.49 × 121,342.50
  4. Step 4: Simplify right side
    221,944.50x = 37,165,325,727.83
  5. Step 5: Solve for x
    x = 37,165,325,727.83/221,944.50
  6. Step 6: Final answer
    x = 167,453.24

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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.