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Finding the Fourth Proportional to 129,674.36, 194,515.14 and 36,180.02

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Solution

The fourth proportional to 129,674.36, 194,515.14 and 36,180.02 is: 54,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,674.36 : 194,515.14 = 36,180.02 : x
  2. Step 2: Convert to fraction form
    129,674.36/194,515.14 = 36,180.02/x
  3. Step 3: Cross multiply
    129,674.36x = 194,515.14 × 36,180.02
  4. Step 4: Simplify right side
    129,674.36x = 7,037,561,655.50
  5. Step 5: Solve for x
    x = 7,037,561,655.50/129,674.36
  6. Step 6: Final answer
    x = 54,271.03

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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.