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Finding the Fourth Proportional to 225,664.74, 338,496.50 and 57,184.58

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Solution

The fourth proportional to 225,664.74, 338,496.50 and 57,184.58 is: 85,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,664.74 : 338,496.50 = 57,184.58 : x
  2. Step 2: Convert to fraction form
    225,664.74/338,496.50 = 57,184.58/x
  3. Step 3: Cross multiply
    225,664.74x = 338,496.50 × 57,184.58
  4. Step 4: Simplify right side
    225,664.74x = 19,356,778,205.56
  5. Step 5: Solve for x
    x = 19,356,778,205.56/225,664.74
  6. Step 6: Final answer
    x = 85,776.71

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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.