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Finding the Fourth Proportional to 123,414.30, 185,121.45 and 115,638.30

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Solution

The fourth proportional to 123,414.30, 185,121.45 and 115,638.30 is: 173,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.30 : 185,121.45 = 115,638.30 : x
  2. Step 2: Convert to fraction form
    123,414.30/185,121.45 = 115,638.30/x
  3. Step 3: Cross multiply
    123,414.30x = 185,121.45 × 115,638.30
  4. Step 4: Simplify right side
    123,414.30x = 21,407,129,771.54
  5. Step 5: Solve for x
    x = 21,407,129,771.54/123,414.30
  6. Step 6: Final answer
    x = 173,457.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.