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Finding the Fourth Proportional to 231,885.36, 319,929.14 and 129,897.05

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Solution

The fourth proportional to 231,885.36, 319,929.14 and 129,897.05 is: 179,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,885.36 : 319,929.14 = 129,897.05 : x
  2. Step 2: Convert to fraction form
    231,885.36/319,929.14 = 129,897.05/x
  3. Step 3: Cross multiply
    231,885.36x = 319,929.14 × 129,897.05
  4. Step 4: Simplify right side
    231,885.36x = 41,557,849,245.91
  5. Step 5: Solve for x
    x = 41,557,849,245.91/231,885.36
  6. Step 6: Final answer
    x = 179,217.22

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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.