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Finding the Fourth Proportional to 225,695, 311,459.10 and 125,093

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Solution

The fourth proportional to 225,695, 311,459.10 and 125,093 is: 172,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,695 : 311,459.10 = 125,093 : x
  2. Step 2: Convert to fraction form
    225,695/311,459.10 = 125,093/x
  3. Step 3: Cross multiply
    225,695x = 311,459.10 × 125,093
  4. Step 4: Simplify right side
    225,695x = 38,961,353,196.30
  5. Step 5: Solve for x
    x = 38,961,353,196.30/225,695
  6. Step 6: Final answer
    x = 172,628.34

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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.