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Finding the Fourth Proportional to 129,692.30, 194,106.45 and 94,052.30

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Solution

The fourth proportional to 129,692.30, 194,106.45 and 94,052.30 is: 140,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,692.30 : 194,106.45 = 94,052.30 : x
  2. Step 2: Convert to fraction form
    129,692.30/194,106.45 = 94,052.30/x
  3. Step 3: Cross multiply
    129,692.30x = 194,106.45 × 94,052.30
  4. Step 4: Simplify right side
    129,692.30x = 18,256,158,067.34
  5. Step 5: Solve for x
    x = 18,256,158,067.34/129,692.30
  6. Step 6: Final answer
    x = 140,765.17

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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.