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Finding the Fourth Proportional to 234,971.26, 324,251.64 and 127,539

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Solution

The fourth proportional to 234,971.26, 324,251.64 and 127,539 is: 175,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,971.26 : 324,251.64 = 127,539 : x
  2. Step 2: Convert to fraction form
    234,971.26/324,251.64 = 127,539/x
  3. Step 3: Cross multiply
    234,971.26x = 324,251.64 × 127,539
  4. Step 4: Simplify right side
    234,971.26x = 41,354,729,913.96
  5. Step 5: Solve for x
    x = 41,354,729,913.96/234,971.26
  6. Step 6: Final answer
    x = 175,999.10

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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.