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Finding the Fourth Proportional to 102,644.82, 153,971.55 and 50,098.50

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Solution

The fourth proportional to 102,644.82, 153,971.55 and 50,098.50 is: 75,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.82 : 153,971.55 = 50,098.50 : x
  2. Step 2: Convert to fraction form
    102,644.82/153,971.55 = 50,098.50/x
  3. Step 3: Cross multiply
    102,644.82x = 153,971.55 × 50,098.50
  4. Step 4: Simplify right side
    102,644.82x = 7,713,743,697.68
  5. Step 5: Solve for x
    x = 7,713,743,697.68/102,644.82
  6. Step 6: Final answer
    x = 75,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.