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Finding the Fourth Proportional to 137,189.24, 189,350.72 and 83,491.58

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Solution

The fourth proportional to 137,189.24, 189,350.72 and 83,491.58 is: 115,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,189.24 : 189,350.72 = 83,491.58 : x
  2. Step 2: Convert to fraction form
    137,189.24/189,350.72 = 83,491.58/x
  3. Step 3: Cross multiply
    137,189.24x = 189,350.72 × 83,491.58
  4. Step 4: Simplify right side
    137,189.24x = 15,809,190,786.94
  5. Step 5: Solve for x
    x = 15,809,190,786.94/137,189.24
  6. Step 6: Final answer
    x = 115,236.38

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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.