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Finding the Fourth Proportional to 231,194, 346,791 and 56,090

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Solution

The fourth proportional to 231,194, 346,791 and 56,090 is: 84,135

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,194 : 346,791 = 56,090 : x
  2. Step 2: Convert to fraction form
    231,194/346,791 = 56,090/x
  3. Step 3: Cross multiply
    231,194x = 346,791 × 56,090
  4. Step 4: Simplify right side
    231,194x = 19,451,507,190
  5. Step 5: Solve for x
    x = 19,451,507,190/231,194
  6. Step 6: Final answer
    x = 84,135

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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.