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Finding the Fourth Proportional to 165,120.84, 227,936.52 and 111,478.52

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Solution

The fourth proportional to 165,120.84, 227,936.52 and 111,478.52 is: 153,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,120.84 : 227,936.52 = 111,478.52 : x
  2. Step 2: Convert to fraction form
    165,120.84/227,936.52 = 111,478.52/x
  3. Step 3: Cross multiply
    165,120.84x = 227,936.52 × 111,478.52
  4. Step 4: Simplify right side
    165,120.84x = 25,410,025,903.55
  5. Step 5: Solve for x
    x = 25,410,025,903.55/165,120.84
  6. Step 6: Final answer
    x = 153,887.46

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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.