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Finding the Fourth Proportional to 132,596.12, 182,936.48 and 75,228.68

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Solution

The fourth proportional to 132,596.12, 182,936.48 and 75,228.68 is: 103,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,596.12 : 182,936.48 = 75,228.68 : x
  2. Step 2: Convert to fraction form
    132,596.12/182,936.48 = 75,228.68/x
  3. Step 3: Cross multiply
    132,596.12x = 182,936.48 × 75,228.68
  4. Step 4: Simplify right side
    132,596.12x = 13,762,069,914.25
  5. Step 5: Solve for x
    x = 13,762,069,914.25/132,596.12
  6. Step 6: Final answer
    x = 103,789.39

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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.