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Finding the Fourth Proportional to 164,107.38, 226,381.39 and 113,032.27

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Solution

The fourth proportional to 164,107.38, 226,381.39 and 113,032.27 is: 155,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,107.38 : 226,381.39 = 113,032.27 : x
  2. Step 2: Convert to fraction form
    164,107.38/226,381.39 = 113,032.27/x
  3. Step 3: Cross multiply
    164,107.38x = 226,381.39 × 113,032.27
  4. Step 4: Simplify right side
    164,107.38x = 25,588,401,265.55
  5. Step 5: Solve for x
    x = 25,588,401,265.55/164,107.38
  6. Step 6: Final answer
    x = 155,924.74

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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.