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Finding the Fourth Proportional to 140,990.68, 194,566.62 and 87,265

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Solution

The fourth proportional to 140,990.68, 194,566.62 and 87,265 is: 120,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,990.68 : 194,566.62 = 87,265 : x
  2. Step 2: Convert to fraction form
    140,990.68/194,566.62 = 87,265/x
  3. Step 3: Cross multiply
    140,990.68x = 194,566.62 × 87,265
  4. Step 4: Simplify right side
    140,990.68x = 16,978,856,094.30
  5. Step 5: Solve for x
    x = 16,978,856,094.30/140,990.68
  6. Step 6: Final answer
    x = 120,425.38

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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.