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Finding the Fourth Proportional to 231,853.63, 319,961.33 and 135,055

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Solution

The fourth proportional to 231,853.63, 319,961.33 and 135,055 is: 186,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.63 : 319,961.33 = 135,055 : x
  2. Step 2: Convert to fraction form
    231,853.63/319,961.33 = 135,055/x
  3. Step 3: Cross multiply
    231,853.63x = 319,961.33 × 135,055
  4. Step 4: Simplify right side
    231,853.63x = 43,212,377,423.15
  5. Step 5: Solve for x
    x = 43,212,377,423.15/231,853.63
  6. Step 6: Final answer
    x = 186,377.83

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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.