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Finding the Fourth Proportional to 231,612.54, 319,675.12 and 140,998.38

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Solution

The fourth proportional to 231,612.54, 319,675.12 and 140,998.38 is: 194,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,612.54 : 319,675.12 = 140,998.38 : x
  2. Step 2: Convert to fraction form
    231,612.54/319,675.12 = 140,998.38/x
  3. Step 3: Cross multiply
    231,612.54x = 319,675.12 × 140,998.38
  4. Step 4: Simplify right side
    231,612.54x = 45,073,673,693.81
  5. Step 5: Solve for x
    x = 45,073,673,693.81/231,612.54
  6. Step 6: Final answer
    x = 194,608.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.