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Finding the Fourth Proportional to 163,165, 225,168.24 and 95,228.68

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Solution

The fourth proportional to 163,165, 225,168.24 and 95,228.68 is: 131,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,165 : 225,168.24 = 95,228.68 : x
  2. Step 2: Convert to fraction form
    163,165/225,168.24 = 95,228.68/x
  3. Step 3: Cross multiply
    163,165x = 225,168.24 × 95,228.68
  4. Step 4: Simplify right side
    163,165x = 21,442,474,273.12
  5. Step 5: Solve for x
    x = 21,442,474,273.12/163,165
  6. Step 6: Final answer
    x = 131,415.89

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1.5x scale

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.