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Finding the Fourth Proportional to 222,082.24, 306,480.72 and 121,480.24

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Solution

The fourth proportional to 222,082.24, 306,480.72 and 121,480.24 is: 167,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,082.24 : 306,480.72 = 121,480.24 : x
  2. Step 2: Convert to fraction form
    222,082.24/306,480.72 = 121,480.24/x
  3. Step 3: Cross multiply
    222,082.24x = 306,480.72 × 121,480.24
  4. Step 4: Simplify right side
    222,082.24x = 37,231,351,420.97
  5. Step 5: Solve for x
    x = 37,231,351,420.97/222,082.24
  6. Step 6: Final answer
    x = 167,646.69

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1.5x scale

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.