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Finding the Fourth Proportional to 165,770.87, 248,656.08 and 76,975.82

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Solution

The fourth proportional to 165,770.87, 248,656.08 and 76,975.82 is: 115,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.87 : 248,656.08 = 76,975.82 : x
  2. Step 2: Convert to fraction form
    165,770.87/248,656.08 = 76,975.82/x
  3. Step 3: Cross multiply
    165,770.87x = 248,656.08 × 76,975.82
  4. Step 4: Simplify right side
    165,770.87x = 19,140,505,655.99
  5. Step 5: Solve for x
    x = 19,140,505,655.99/165,770.87
  6. Step 6: Final answer
    x = 115,463.63

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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.