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Finding the Fourth Proportional to 231,287.34, 319,177.06 and 129,316.44

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Solution

The fourth proportional to 231,287.34, 319,177.06 and 129,316.44 is: 178,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,287.34 : 319,177.06 = 129,316.44 : x
  2. Step 2: Convert to fraction form
    231,287.34/319,177.06 = 129,316.44/x
  3. Step 3: Cross multiply
    231,287.34x = 319,177.06 × 129,316.44
  4. Step 4: Simplify right side
    231,287.34x = 41,274,841,128.87
  5. Step 5: Solve for x
    x = 41,274,841,128.87/231,287.34
  6. Step 6: Final answer
    x = 178,456.98

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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.