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Finding the Fourth Proportional to 164,673.85, 227,162.26 and 100,162.82

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Solution

The fourth proportional to 164,673.85, 227,162.26 and 100,162.82 is: 138,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,673.85 : 227,162.26 = 100,162.82 : x
  2. Step 2: Convert to fraction form
    164,673.85/227,162.26 = 100,162.82/x
  3. Step 3: Cross multiply
    164,673.85x = 227,162.26 × 100,162.82
  4. Step 4: Simplify right side
    164,673.85x = 22,753,210,922.55
  5. Step 5: Solve for x
    x = 22,753,210,922.55/164,673.85
  6. Step 6: Final answer
    x = 138,171.37

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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.