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Finding the Fourth Proportional to 129,701.80, 194,514.30 and 50,770.60

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Solution

The fourth proportional to 129,701.80, 194,514.30 and 50,770.60 is: 76,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701.80 : 194,514.30 = 50,770.60 : x
  2. Step 2: Convert to fraction form
    129,701.80/194,514.30 = 50,770.60/x
  3. Step 3: Cross multiply
    129,701.80x = 194,514.30 × 50,770.60
  4. Step 4: Simplify right side
    129,701.80x = 9,875,607,719.58
  5. Step 5: Solve for x
    x = 9,875,607,719.58/129,701.80
  6. Step 6: Final answer
    x = 76,140.87

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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.