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Finding the Fourth Proportional to 109,850.66, 164,775.90 and 95,015.48

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Solution

The fourth proportional to 109,850.66, 164,775.90 and 95,015.48 is: 142,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,850.66 : 164,775.90 = 95,015.48 : x
  2. Step 2: Convert to fraction form
    109,850.66/164,775.90 = 95,015.48/x
  3. Step 3: Cross multiply
    109,850.66x = 164,775.90 × 95,015.48
  4. Step 4: Simplify right side
    109,850.66x = 15,656,261,230.93
  5. Step 5: Solve for x
    x = 15,656,261,230.93/109,850.66
  6. Step 6: Final answer
    x = 142,523.14

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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.