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Finding the Fourth Proportional to 234,986.86, 352,532.13 and 77,208.58

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Solution

The fourth proportional to 234,986.86, 352,532.13 and 77,208.58 is: 115,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,986.86 : 352,532.13 = 77,208.58 : x
  2. Step 2: Convert to fraction form
    234,986.86/352,532.13 = 77,208.58/x
  3. Step 3: Cross multiply
    234,986.86x = 352,532.13 × 77,208.58
  4. Step 4: Simplify right side
    234,986.86x = 27,218,505,161.68
  5. Step 5: Solve for x
    x = 27,218,505,161.68/234,986.86
  6. Step 6: Final answer
    x = 115,829.90

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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.