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Finding the Fourth Proportional to 231,690.85, 319,717.92 and 129,699.07

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Solution

The fourth proportional to 231,690.85, 319,717.92 and 129,699.07 is: 178,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,690.85 : 319,717.92 = 129,699.07 : x
  2. Step 2: Convert to fraction form
    231,690.85/319,717.92 = 129,699.07/x
  3. Step 3: Cross multiply
    231,690.85x = 319,717.92 × 129,699.07
  4. Step 4: Simplify right side
    231,690.85x = 41,467,116,886.33
  5. Step 5: Solve for x
    x = 41,467,116,886.33/231,690.85
  6. Step 6: Final answer
    x = 178,976.07

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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.