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Finding the Fourth Proportional to 231,478.50, 319,449.40 and 135,984.36

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Solution

The fourth proportional to 231,478.50, 319,449.40 and 135,984.36 is: 187,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,478.50 : 319,449.40 = 135,984.36 : x
  2. Step 2: Convert to fraction form
    231,478.50/319,449.40 = 135,984.36/x
  3. Step 3: Cross multiply
    231,478.50x = 319,449.40 × 135,984.36
  4. Step 4: Simplify right side
    231,478.50x = 43,440,122,211.38
  5. Step 5: Solve for x
    x = 43,440,122,211.38/231,478.50
  6. Step 6: Final answer
    x = 187,663.75

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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.