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Finding the Fourth Proportional to 201,009.12, 301,119.60 and 116,591.94

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Solution

The fourth proportional to 201,009.12, 301,119.60 and 116,591.94 is: 174,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,009.12 : 301,119.60 = 116,591.94 : x
  2. Step 2: Convert to fraction form
    201,009.12/301,119.60 = 116,591.94/x
  3. Step 3: Cross multiply
    201,009.12x = 301,119.60 × 116,591.94
  4. Step 4: Simplify right side
    201,009.12x = 35,108,118,336.02
  5. Step 5: Solve for x
    x = 35,108,118,336.02/201,009.12
  6. Step 6: Final answer
    x = 174,659.33

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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.