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Finding the Fourth Proportional to 129,394.50, 194,091.84 and 35,900.34

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Solution

The fourth proportional to 129,394.50, 194,091.84 and 35,900.34 is: 53,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,394.50 : 194,091.84 = 35,900.34 : x
  2. Step 2: Convert to fraction form
    129,394.50/194,091.84 = 35,900.34/x
  3. Step 3: Cross multiply
    129,394.50x = 194,091.84 × 35,900.34
  4. Step 4: Simplify right side
    129,394.50x = 6,967,963,047.23
  5. Step 5: Solve for x
    x = 6,967,963,047.23/129,394.50
  6. Step 6: Final answer
    x = 53,850.53

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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.