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Finding the Fourth Proportional to 221,926, 306,258.96 and 121,324

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Solution

The fourth proportional to 221,926, 306,258.96 and 121,324 is: 167,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,926 : 306,258.96 = 121,324 : x
  2. Step 2: Convert to fraction form
    221,926/306,258.96 = 121,324/x
  3. Step 3: Cross multiply
    221,926x = 306,258.96 × 121,324
  4. Step 4: Simplify right side
    221,926x = 37,156,562,063.04
  5. Step 5: Solve for x
    x = 37,156,562,063.04/221,926
  6. Step 6: Final answer
    x = 167,427.71

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