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Finding the Fourth Proportional to 180,649.73, 271,223.37 and 91,965.06

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Solution

The fourth proportional to 180,649.73, 271,223.37 and 91,965.06 is: 138,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,649.73 : 271,223.37 = 91,965.06 : x
  2. Step 2: Convert to fraction form
    180,649.73/271,223.37 = 91,965.06/x
  3. Step 3: Cross multiply
    180,649.73x = 271,223.37 × 91,965.06
  4. Step 4: Simplify right side
    180,649.73x = 24,943,073,495.45
  5. Step 5: Solve for x
    x = 24,943,073,495.45/180,649.73
  6. Step 6: Final answer
    x = 138,074.23

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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.