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Finding the Fourth Proportional to 132,567.36, 182,950.84 and 75,982.38

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Solution

The fourth proportional to 132,567.36, 182,950.84 and 75,982.38 is: 104,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,567.36 : 182,950.84 = 75,982.38 : x
  2. Step 2: Convert to fraction form
    132,567.36/182,950.84 = 75,982.38/x
  3. Step 3: Cross multiply
    132,567.36x = 182,950.84 × 75,982.38
  4. Step 4: Simplify right side
    132,567.36x = 13,901,040,246.20
  5. Step 5: Solve for x
    x = 13,901,040,246.20/132,567.36
  6. Step 6: Final answer
    x = 104,860.20

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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.