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Finding the Fourth Proportional to 164,125.43, 226,353.45 and 113,219.36

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Solution

The fourth proportional to 164,125.43, 226,353.45 and 113,219.36 is: 156,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,125.43 : 226,353.45 = 113,219.36 : x
  2. Step 2: Convert to fraction form
    164,125.43/226,353.45 = 113,219.36/x
  3. Step 3: Cross multiply
    164,125.43x = 226,353.45 × 113,219.36
  4. Step 4: Simplify right side
    164,125.43x = 25,627,592,742.79
  5. Step 5: Solve for x
    x = 25,627,592,742.79/164,125.43
  6. Step 6: Final answer
    x = 156,146.39

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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.