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Finding the Fourth Proportional to 303,121.22, 418,331.14 and 167,167.58

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Solution

The fourth proportional to 303,121.22, 418,331.14 and 167,167.58 is: 230,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,121.22 : 418,331.14 = 167,167.58 : x
  2. Step 2: Convert to fraction form
    303,121.22/418,331.14 = 167,167.58/x
  3. Step 3: Cross multiply
    303,121.22x = 418,331.14 × 167,167.58
  4. Step 4: Simplify right side
    303,121.22x = 69,931,404,312.44
  5. Step 5: Solve for x
    x = 69,931,404,312.44/303,121.22
  6. Step 6: Final answer
    x = 230,704.42

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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.