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Finding the Fourth Proportional to 227,575.92, 314,043.40 and 126,954.48

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Solution

The fourth proportional to 227,575.92, 314,043.40 and 126,954.48 is: 175,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,575.92 : 314,043.40 = 126,954.48 : x
  2. Step 2: Convert to fraction form
    227,575.92/314,043.40 = 126,954.48/x
  3. Step 3: Cross multiply
    227,575.92x = 314,043.40 × 126,954.48
  4. Step 4: Simplify right side
    227,575.92x = 39,869,216,544.43
  5. Step 5: Solve for x
    x = 39,869,216,544.43/227,575.92
  6. Step 6: Final answer
    x = 175,190.84

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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.