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Finding the Fourth Proportional to 129,705.20, 194,703.60 and 100,253.60

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Solution

The fourth proportional to 129,705.20, 194,703.60 and 100,253.60 is: 150,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.20 : 194,703.60 = 100,253.60 : x
  2. Step 2: Convert to fraction form
    129,705.20/194,703.60 = 100,253.60/x
  3. Step 3: Cross multiply
    129,705.20x = 194,703.60 × 100,253.60
  4. Step 4: Simplify right side
    129,705.20x = 19,519,736,832.96
  5. Step 5: Solve for x
    x = 19,519,736,832.96/129,705.20
  6. Step 6: Final answer
    x = 150,493.09

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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.