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Finding the Fourth Proportional to 225,613, 338,424.94 and 75,855.24

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Solution

The fourth proportional to 225,613, 338,424.94 and 75,855.24 is: 113,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,613 : 338,424.94 = 75,855.24 : x
  2. Step 2: Convert to fraction form
    225,613/338,424.94 = 75,855.24/x
  3. Step 3: Cross multiply
    225,613x = 338,424.94 × 75,855.24
  4. Step 4: Simplify right side
    225,613x = 25,671,305,045.69
  5. Step 5: Solve for x
    x = 25,671,305,045.69/225,613
  6. Step 6: Final answer
    x = 113,784.69

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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.