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Finding the Fourth Proportional to 132,596.13, 182,936.47 and 75,228.69

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Solution

The fourth proportional to 132,596.13, 182,936.47 and 75,228.69 is: 103,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,596.13 : 182,936.47 = 75,228.69 : x
  2. Step 2: Convert to fraction form
    132,596.13/182,936.47 = 75,228.69/x
  3. Step 3: Cross multiply
    132,596.13x = 182,936.47 × 75,228.69
  4. Step 4: Simplify right side
    132,596.13x = 13,762,070,991.32
  5. Step 5: Solve for x
    x = 13,762,070,991.32/132,596.13
  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.