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Finding the Fourth Proportional to 200,357.79, 300,467.49 and 58,164.51

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Solution

The fourth proportional to 200,357.79, 300,467.49 and 58,164.51 is: 87,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357.79 : 300,467.49 = 58,164.51 : x
  2. Step 2: Convert to fraction form
    200,357.79/300,467.49 = 58,164.51/x
  3. Step 3: Cross multiply
    200,357.79x = 300,467.49 × 58,164.51
  4. Step 4: Simplify right side
    200,357.79x = 17,476,544,326.78
  5. Step 5: Solve for x
    x = 17,476,544,326.78/200,357.79
  6. Step 6: Final answer
    x = 87,226.68

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Why These Related Problems?

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