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Finding the Fourth Proportional to 231,051.38, 318,839.42 and 129,056.51

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Solution

The fourth proportional to 231,051.38, 318,839.42 and 129,056.51 is: 178,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,051.38 : 318,839.42 = 129,056.51 : x
  2. Step 2: Convert to fraction form
    231,051.38/318,839.42 = 129,056.51/x
  3. Step 3: Cross multiply
    231,051.38x = 318,839.42 × 129,056.51
  4. Step 4: Simplify right side
    231,051.38x = 41,148,300,556.14
  5. Step 5: Solve for x
    x = 41,148,300,556.14/231,051.38
  6. Step 6: Final answer
    x = 178,091.56

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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.