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Finding the Fourth Proportional to 129,358, 194,037 and 35,863.75

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Solution

The fourth proportional to 129,358, 194,037 and 35,863.75 is: 53,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,358 : 194,037 = 35,863.75 : x
  2. Step 2: Convert to fraction form
    129,358/194,037 = 35,863.75/x
  3. Step 3: Cross multiply
    129,358x = 194,037 × 35,863.75
  4. Step 4: Simplify right side
    129,358x = 6,958,894,458.75
  5. Step 5: Solve for x
    x = 6,958,894,458.75/129,358
  6. Step 6: Final answer
    x = 53,795.63

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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.