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Finding the Fourth Proportional to 129,873.60, 194,803.11 and 35,102.39

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Solution

The fourth proportional to 129,873.60, 194,803.11 and 35,102.39 is: 52,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873.60 : 194,803.11 = 35,102.39 : x
  2. Step 2: Convert to fraction form
    129,873.60/194,803.11 = 35,102.39/x
  3. Step 3: Cross multiply
    129,873.60x = 194,803.11 × 35,102.39
  4. Step 4: Simplify right side
    129,873.60x = 6,838,053,766.42
  5. Step 5: Solve for x
    x = 6,838,053,766.42/129,873.60
  6. Step 6: Final answer
    x = 52,651.61

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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.