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Finding the Fourth Proportional to 222,253.38, 306,716.85 and 121,651.38

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Solution

The fourth proportional to 222,253.38, 306,716.85 and 121,651.38 is: 167,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,253.38 : 306,716.85 = 121,651.38 : x
  2. Step 2: Convert to fraction form
    222,253.38/306,716.85 = 121,651.38/x
  3. Step 3: Cross multiply
    222,253.38x = 306,716.85 × 121,651.38
  4. Step 4: Simplify right side
    222,253.38x = 37,312,528,071.75
  5. Step 5: Solve for x
    x = 37,312,528,071.75/222,253.38
  6. Step 6: Final answer
    x = 167,882.84

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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.