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Finding the Fourth Proportional to 183,716.80, 275,575.20 and 78,546.40

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Solution

The fourth proportional to 183,716.80, 275,575.20 and 78,546.40 is: 117,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,716.80 : 275,575.20 = 78,546.40 : x
  2. Step 2: Convert to fraction form
    183,716.80/275,575.20 = 78,546.40/x
  3. Step 3: Cross multiply
    183,716.80x = 275,575.20 × 78,546.40
  4. Step 4: Simplify right side
    183,716.80x = 21,645,439,889.28
  5. Step 5: Solve for x
    x = 21,645,439,889.28/183,716.80
  6. Step 6: Final answer
    x = 117,819.60

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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.