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Finding the Fourth Proportional to 182,105.80, 273,029.10 and 69,742.60

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Solution

The fourth proportional to 182,105.80, 273,029.10 and 69,742.60 is: 104,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,105.80 : 273,029.10 = 69,742.60 : x
  2. Step 2: Convert to fraction form
    182,105.80/273,029.10 = 69,742.60/x
  3. Step 3: Cross multiply
    182,105.80x = 273,029.10 × 69,742.60
  4. Step 4: Simplify right side
    182,105.80x = 19,041,759,309.66
  5. Step 5: Solve for x
    x = 19,041,759,309.66/182,105.80
  6. Step 6: Final answer
    x = 104,564.27

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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.