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Finding the Fourth Proportional to 201,664.53, 302,163.97 and 117,187.56

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Solution

The fourth proportional to 201,664.53, 302,163.97 and 117,187.56 is: 175,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.53 : 302,163.97 = 117,187.56 : x
  2. Step 2: Convert to fraction form
    201,664.53/302,163.97 = 117,187.56/x
  3. Step 3: Cross multiply
    201,664.53x = 302,163.97 × 117,187.56
  4. Step 4: Simplify right side
    201,664.53x = 35,409,858,364.21
  5. Step 5: Solve for x
    x = 35,409,858,364.21/201,664.53
  6. Step 6: Final answer
    x = 175,587.93

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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.