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Finding the Fourth Proportional to 100,936.88, 151,262.54 and 55,978.14

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Solution

The fourth proportional to 100,936.88, 151,262.54 and 55,978.14 is: 83,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,936.88 : 151,262.54 = 55,978.14 : x
  2. Step 2: Convert to fraction form
    100,936.88/151,262.54 = 55,978.14/x
  3. Step 3: Cross multiply
    100,936.88x = 151,262.54 × 55,978.14
  4. Step 4: Simplify right side
    100,936.88x = 8,467,395,640.88
  5. Step 5: Solve for x
    x = 8,467,395,640.88/100,936.88
  6. Step 6: Final answer
    x = 83,888.03

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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.