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Finding the Fourth Proportional to 253,824.38, 380,653.52 and 118,846.67

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Solution

The fourth proportional to 253,824.38, 380,653.52 and 118,846.67 is: 178,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,824.38 : 380,653.52 = 118,846.67 : x
  2. Step 2: Convert to fraction form
    253,824.38/380,653.52 = 118,846.67/x
  3. Step 3: Cross multiply
    253,824.38x = 380,653.52 × 118,846.67
  4. Step 4: Simplify right side
    253,824.38x = 45,239,400,778.28
  5. Step 5: Solve for x
    x = 45,239,400,778.28/253,824.38
  6. Step 6: Final answer
    x = 178,231.11

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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.