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Finding the Fourth Proportional to 221,684, 305,923.92 and 121,082.24

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Solution

The fourth proportional to 221,684, 305,923.92 and 121,082.24 is: 167,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,684 : 305,923.92 = 121,082.24 : x
  2. Step 2: Convert to fraction form
    221,684/305,923.92 = 121,082.24/x
  3. Step 3: Cross multiply
    221,684x = 305,923.92 × 121,082.24
  4. Step 4: Simplify right side
    221,684x = 37,041,953,503.18
  5. Step 5: Solve for x
    x = 37,041,953,503.18/221,684
  6. Step 6: Final answer
    x = 167,093.49

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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.