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Finding the Fourth Proportional to 126,075, 188,984.88 and 81,729.90

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Solution

The fourth proportional to 126,075, 188,984.88 and 81,729.90 is: 122,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,075 : 188,984.88 = 81,729.90 : x
  2. Step 2: Convert to fraction form
    126,075/188,984.88 = 81,729.90/x
  3. Step 3: Cross multiply
    126,075x = 188,984.88 × 81,729.90
  4. Step 4: Simplify right side
    126,075x = 15,445,715,343.91
  5. Step 5: Solve for x
    x = 15,445,715,343.91/126,075
  6. Step 6: Final answer
    x = 122,512.12

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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.