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Finding the Fourth Proportional to 129,865.40, 194,798.10 and 73,878.20

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Solution

The fourth proportional to 129,865.40, 194,798.10 and 73,878.20 is: 110,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,865.40 : 194,798.10 = 73,878.20 : x
  2. Step 2: Convert to fraction form
    129,865.40/194,798.10 = 73,878.20/x
  3. Step 3: Cross multiply
    129,865.40x = 194,798.10 × 73,878.20
  4. Step 4: Simplify right side
    129,865.40x = 14,391,332,991.42
  5. Step 5: Solve for x
    x = 14,391,332,991.42/129,865.40
  6. Step 6: Final answer
    x = 110,817.30

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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.