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Finding the Fourth Proportional to 164,027.70, 226,358.24 and 92,407.70

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Solution

The fourth proportional to 164,027.70, 226,358.24 and 92,407.70 is: 127,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027.70 : 226,358.24 = 92,407.70 : x
  2. Step 2: Convert to fraction form
    164,027.70/226,358.24 = 92,407.70/x
  3. Step 3: Cross multiply
    164,027.70x = 226,358.24 × 92,407.70
  4. Step 4: Simplify right side
    164,027.70x = 20,917,244,334.45
  5. Step 5: Solve for x
    x = 20,917,244,334.45/164,027.70
  6. Step 6: Final answer
    x = 127,522.63

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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.