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Finding the Fourth Proportional to 221,718.54, 305,965.17 and 121,116.54

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Solution

The fourth proportional to 221,718.54, 305,965.17 and 121,116.54 is: 167,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,718.54 : 305,965.17 = 121,116.54 : x
  2. Step 2: Convert to fraction form
    221,718.54/305,965.17 = 121,116.54/x
  3. Step 3: Cross multiply
    221,718.54x = 305,965.17 × 121,116.54
  4. Step 4: Simplify right side
    221,718.54x = 37,057,442,750.91
  5. Step 5: Solve for x
    x = 37,057,442,750.91/221,718.54
  6. Step 6: Final answer
    x = 167,137.32

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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.