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Finding the Fourth Proportional to 221,082.54, 305,102.10 and 125,605.44

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Solution

The fourth proportional to 221,082.54, 305,102.10 and 125,605.44 is: 173,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.54 : 305,102.10 = 125,605.44 : x
  2. Step 2: Convert to fraction form
    221,082.54/305,102.10 = 125,605.44/x
  3. Step 3: Cross multiply
    221,082.54x = 305,102.10 × 125,605.44
  4. Step 4: Simplify right side
    221,082.54x = 38,322,483,515.42
  5. Step 5: Solve for x
    x = 38,322,483,515.42/221,082.54
  6. Step 6: Final answer
    x = 173,340.16

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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.