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Finding the Fourth Proportional to 129,958.82, 194,821.56 and 46,794.50

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Solution

The fourth proportional to 129,958.82, 194,821.56 and 46,794.50 is: 70,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,958.82 : 194,821.56 = 46,794.50 : x
  2. Step 2: Convert to fraction form
    129,958.82/194,821.56 = 46,794.50/x
  3. Step 3: Cross multiply
    129,958.82x = 194,821.56 × 46,794.50
  4. Step 4: Simplify right side
    129,958.82x = 9,116,577,489.42
  5. Step 5: Solve for x
    x = 9,116,577,489.42/129,958.82
  6. Step 6: Final answer
    x = 70,149.74

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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.