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Finding the Fourth Proportional to 212,242, 292,890.82 and 116,743

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Solution

The fourth proportional to 212,242, 292,890.82 and 116,743 is: 161,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,242 : 292,890.82 = 116,743 : x
  2. Step 2: Convert to fraction form
    212,242/292,890.82 = 116,743/x
  3. Step 3: Cross multiply
    212,242x = 292,890.82 × 116,743
  4. Step 4: Simplify right side
    212,242x = 34,192,952,999.26
  5. Step 5: Solve for x
    x = 34,192,952,999.26/212,242
  6. Step 6: Final answer
    x = 161,103.61

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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.