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Finding the Fourth Proportional to 183,860.82, 275,700.42 and 107,978.40

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Solution

The fourth proportional to 183,860.82, 275,700.42 and 107,978.40 is: 161,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,860.82 : 275,700.42 = 107,978.40 : x
  2. Step 2: Convert to fraction form
    183,860.82/275,700.42 = 107,978.40/x
  3. Step 3: Cross multiply
    183,860.82x = 275,700.42 × 107,978.40
  4. Step 4: Simplify right side
    183,860.82x = 29,769,690,230.93
  5. Step 5: Solve for x
    x = 29,769,690,230.93/183,860.82
  6. Step 6: Final answer
    x = 161,914.27

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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.