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Finding the Fourth Proportional to 273,850.26, 410,770.95 and 105,407.16

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Solution

The fourth proportional to 273,850.26, 410,770.95 and 105,407.16 is: 158,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,850.26 : 410,770.95 = 105,407.16 : x
  2. Step 2: Convert to fraction form
    273,850.26/410,770.95 = 105,407.16/x
  3. Step 3: Cross multiply
    273,850.26x = 410,770.95 × 105,407.16
  4. Step 4: Simplify right side
    273,850.26x = 43,298,199,250.00
  5. Step 5: Solve for x
    x = 43,298,199,250.00/273,850.26
  6. Step 6: Final answer
    x = 158,109.03

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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.