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Finding the Fourth Proportional to 212,243, 292,892.20 and 116,744

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Solution

The fourth proportional to 212,243, 292,892.20 and 116,744 is: 161,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,243 : 292,892.20 = 116,744 : x
  2. Step 2: Convert to fraction form
    212,243/292,892.20 = 116,744/x
  3. Step 3: Cross multiply
    212,243x = 292,892.20 × 116,744
  4. Step 4: Simplify right side
    212,243x = 34,193,406,996.80
  5. Step 5: Solve for x
    x = 34,193,406,996.80/212,243
  6. Step 6: Final answer
    x = 161,104.99

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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.