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Finding the Fourth Proportional to 218,842.22, 301,984.16 and 123,372.38

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Solution

The fourth proportional to 218,842.22, 301,984.16 and 123,372.38 is: 170,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,842.22 : 301,984.16 = 123,372.38 : x
  2. Step 2: Convert to fraction form
    218,842.22/301,984.16 = 123,372.38/x
  3. Step 3: Cross multiply
    218,842.22x = 301,984.16 × 123,372.38
  4. Step 4: Simplify right side
    218,842.22x = 37,256,502,414.72
  5. Step 5: Solve for x
    x = 37,256,502,414.72/218,842.22
  6. Step 6: Final answer
    x = 170,243.67

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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.