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Finding the Fourth Proportional to 201,664.28, 302,163.60 and 117,187.32

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Solution

The fourth proportional to 201,664.28, 302,163.60 and 117,187.32 is: 175,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.28 : 302,163.60 = 117,187.32 : x
  2. Step 2: Convert to fraction form
    201,664.28/302,163.60 = 117,187.32/x
  3. Step 3: Cross multiply
    201,664.28x = 302,163.60 × 117,187.32
  4. Step 4: Simplify right side
    201,664.28x = 35,409,742,485.55
  5. Step 5: Solve for x
    x = 35,409,742,485.55/201,664.28
  6. Step 6: Final answer
    x = 175,587.58

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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.