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Finding the Fourth Proportional to 164,354.44, 226,769.97 and 113,350.86

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Solution

The fourth proportional to 164,354.44, 226,769.97 and 113,350.86 is: 156,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,354.44 : 226,769.97 = 113,350.86 : x
  2. Step 2: Convert to fraction form
    164,354.44/226,769.97 = 113,350.86/x
  3. Step 3: Cross multiply
    164,354.44x = 226,769.97 × 113,350.86
  4. Step 4: Simplify right side
    164,354.44x = 25,704,571,945.38
  5. Step 5: Solve for x
    x = 25,704,571,945.38/164,354.44
  6. Step 6: Final answer
    x = 156,397.19

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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.