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Finding the Fourth Proportional to 180,918.84, 271,395.54 and 81,075

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Solution

The fourth proportional to 180,918.84, 271,395.54 and 81,075 is: 121,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,918.84 : 271,395.54 = 81,075 : x
  2. Step 2: Convert to fraction form
    180,918.84/271,395.54 = 81,075/x
  3. Step 3: Cross multiply
    180,918.84x = 271,395.54 × 81,075
  4. Step 4: Simplify right side
    180,918.84x = 22,003,393,405.50
  5. Step 5: Solve for x
    x = 22,003,393,405.50/180,918.84
  6. Step 6: Final answer
    x = 121,620.24

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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.