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Finding the Fourth Proportional to 221,426.75, 305,716.01 and 170,349.37

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Solution

The fourth proportional to 221,426.75, 305,716.01 and 170,349.37 is: 235,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,426.75 : 305,716.01 = 170,349.37 : x
  2. Step 2: Convert to fraction form
    221,426.75/305,716.01 = 170,349.37/x
  3. Step 3: Cross multiply
    221,426.75x = 305,716.01 × 170,349.37
  4. Step 4: Simplify right side
    221,426.75x = 52,078,528,086.38
  5. Step 5: Solve for x
    x = 52,078,528,086.38/221,426.75
  6. Step 6: Final answer
    x = 235,195.28

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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.