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Finding the Fourth Proportional to 291,236.50, 401,916.09 and 178,037.38

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Solution

The fourth proportional to 291,236.50, 401,916.09 and 178,037.38 is: 245,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,236.50 : 401,916.09 = 178,037.38 : x
  2. Step 2: Convert to fraction form
    291,236.50/401,916.09 = 178,037.38/x
  3. Step 3: Cross multiply
    291,236.50x = 401,916.09 × 178,037.38
  4. Step 4: Simplify right side
    291,236.50x = 71,556,087,643.44
  5. Step 5: Solve for x
    x = 71,556,087,643.44/291,236.50
  6. Step 6: Final answer
    x = 245,697.53

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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.