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Finding the Fourth Proportional to 227,564, 314,026.84 and 126,942.56

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Solution

The fourth proportional to 227,564, 314,026.84 and 126,942.56 is: 175,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564 : 314,026.84 = 126,942.56 : x
  2. Step 2: Convert to fraction form
    227,564/314,026.84 = 126,942.56/x
  3. Step 3: Cross multiply
    227,564x = 314,026.84 × 126,942.56
  4. Step 4: Simplify right side
    227,564x = 39,863,370,978.31
  5. Step 5: Solve for x
    x = 39,863,370,978.31/227,564
  6. Step 6: Final answer
    x = 175,174.33

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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.