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Finding the Fourth Proportional to 216,850.83, 299,247.72 and 120,059

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Solution

The fourth proportional to 216,850.83, 299,247.72 and 120,059 is: 165,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,850.83 : 299,247.72 = 120,059 : x
  2. Step 2: Convert to fraction form
    216,850.83/299,247.72 = 120,059/x
  3. Step 3: Cross multiply
    216,850.83x = 299,247.72 × 120,059
  4. Step 4: Simplify right side
    216,850.83x = 35,927,382,015.48
  5. Step 5: Solve for x
    x = 35,927,382,015.48/216,850.83
  6. Step 6: Final answer
    x = 165,677.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.