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Finding the Fourth Proportional to 129,456, 194,184 and 35,962.56

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Solution

The fourth proportional to 129,456, 194,184 and 35,962.56 is: 53,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,456 : 194,184 = 35,962.56 : x
  2. Step 2: Convert to fraction form
    129,456/194,184 = 35,962.56/x
  3. Step 3: Cross multiply
    129,456x = 194,184 × 35,962.56
  4. Step 4: Simplify right side
    129,456x = 6,983,353,751.04
  5. Step 5: Solve for x
    x = 6,983,353,751.04/129,456
  6. Step 6: Final answer
    x = 53,943.84

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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.