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Finding the Fourth Proportional to 105,251.84, 157,819.20 and 35,092.88

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Solution

The fourth proportional to 105,251.84, 157,819.20 and 35,092.88 is: 52,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,251.84 : 157,819.20 = 35,092.88 : x
  2. Step 2: Convert to fraction form
    105,251.84/157,819.20 = 35,092.88/x
  3. Step 3: Cross multiply
    105,251.84x = 157,819.20 × 35,092.88
  4. Step 4: Simplify right side
    105,251.84x = 5,538,330,247.30
  5. Step 5: Solve for x
    x = 5,538,330,247.30/105,251.84
  6. Step 6: Final answer
    x = 52,619.80

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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.