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Finding the Fourth Proportional to 274,030.26, 410,796.30 and 105,443.04

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Solution

The fourth proportional to 274,030.26, 410,796.30 and 105,443.04 is: 158,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,030.26 : 410,796.30 = 105,443.04 : x
  2. Step 2: Convert to fraction form
    274,030.26/410,796.30 = 105,443.04/x
  3. Step 3: Cross multiply
    274,030.26x = 410,796.30 × 105,443.04
  4. Step 4: Simplify right side
    274,030.26x = 43,315,610,692.75
  5. Step 5: Solve for x
    x = 43,315,610,692.75/274,030.26
  6. Step 6: Final answer
    x = 158,068.71

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Why These Related Problems?

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