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Finding the Fourth Proportional to 231,806.91, 347,710.37 and 126,568.47

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Solution

The fourth proportional to 231,806.91, 347,710.37 and 126,568.47 is: 189,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.91 : 347,710.37 = 126,568.47 : x
  2. Step 2: Convert to fraction form
    231,806.91/347,710.37 = 126,568.47/x
  3. Step 3: Cross multiply
    231,806.91x = 347,710.37 × 126,568.47
  4. Step 4: Simplify right side
    231,806.91x = 44,009,169,534.03
  5. Step 5: Solve for x
    x = 44,009,169,534.03/231,806.91
  6. Step 6: Final answer
    x = 189,852.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.