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Finding the Fourth Proportional to 225,457.20, 338,202.22 and 75,696.23

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Solution

The fourth proportional to 225,457.20, 338,202.22 and 75,696.23 is: 113,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,457.20 : 338,202.22 = 75,696.23 : x
  2. Step 2: Convert to fraction form
    225,457.20/338,202.22 = 75,696.23/x
  3. Step 3: Cross multiply
    225,457.20x = 338,202.22 × 75,696.23
  4. Step 4: Simplify right side
    225,457.20x = 25,600,633,031.63
  5. Step 5: Solve for x
    x = 25,600,633,031.63/225,457.20
  6. Step 6: Final answer
    x = 113,549.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.