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Finding the Fourth Proportional to 356,125.50, 491,453.64 and 194,981.64

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Solution

The fourth proportional to 356,125.50, 491,453.64 and 194,981.64 is: 269,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,125.50 : 491,453.64 = 194,981.64 : x
  2. Step 2: Convert to fraction form
    356,125.50/491,453.64 = 194,981.64/x
  3. Step 3: Cross multiply
    356,125.50x = 491,453.64 × 194,981.64
  4. Step 4: Simplify right side
    356,125.50x = 95,824,436,711.17
  5. Step 5: Solve for x
    x = 95,824,436,711.17/356,125.50
  6. Step 6: Final answer
    x = 269,074.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.