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Finding the Fourth Proportional to 212,102.26, 292,703.09 and 116,609.63

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Solution

The fourth proportional to 212,102.26, 292,703.09 and 116,609.63 is: 160,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.26 : 292,703.09 = 116,609.63 : x
  2. Step 2: Convert to fraction form
    212,102.26/292,703.09 = 116,609.63/x
  3. Step 3: Cross multiply
    212,102.26x = 292,703.09 × 116,609.63
  4. Step 4: Simplify right side
    212,102.26x = 34,131,996,978.19
  5. Step 5: Solve for x
    x = 34,131,996,978.19/212,102.26
  6. Step 6: Final answer
    x = 160,922.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.