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Finding the Fourth Proportional to 100,839.84, 151,284.69 and 41,692.38

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Solution

The fourth proportional to 100,839.84, 151,284.69 and 41,692.38 is: 62,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,839.84 : 151,284.69 = 41,692.38 : x
  2. Step 2: Convert to fraction form
    100,839.84/151,284.69 = 41,692.38/x
  3. Step 3: Cross multiply
    100,839.84x = 151,284.69 × 41,692.38
  4. Step 4: Simplify right side
    100,839.84x = 6,307,418,783.66
  5. Step 5: Solve for x
    x = 6,307,418,783.66/100,839.84
  6. Step 6: Final answer
    x = 62,548.88

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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.