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Finding the Fourth Proportional to 131,884.38, 182,063.52 and 75,284.82

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Solution

The fourth proportional to 131,884.38, 182,063.52 and 75,284.82 is: 103,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,884.38 : 182,063.52 = 75,284.82 : x
  2. Step 2: Convert to fraction form
    131,884.38/182,063.52 = 75,284.82/x
  3. Step 3: Cross multiply
    131,884.38x = 182,063.52 × 75,284.82
  4. Step 4: Simplify right side
    131,884.38x = 13,706,619,331.77
  5. Step 5: Solve for x
    x = 13,706,619,331.77/131,884.38
  6. Step 6: Final answer
    x = 103,929.06

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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.