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Finding the Fourth Proportional to 291,893.76, 403,145.64 and 196,234.38

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Solution

The fourth proportional to 291,893.76, 403,145.64 and 196,234.38 is: 271,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,893.76 : 403,145.64 = 196,234.38 : x
  2. Step 2: Convert to fraction form
    291,893.76/403,145.64 = 196,234.38/x
  3. Step 3: Cross multiply
    291,893.76x = 403,145.64 × 196,234.38
  4. Step 4: Simplify right side
    291,893.76x = 79,111,034,715.10
  5. Step 5: Solve for x
    x = 79,111,034,715.10/291,893.76
  6. Step 6: Final answer
    x = 271,026.81

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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.