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Finding the Fourth Proportional to 200,358.93, 300,469.19 and 58,165.64

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Solution

The fourth proportional to 200,358.93, 300,469.19 and 58,165.64 is: 87,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358.93 : 300,469.19 = 58,165.64 : x
  2. Step 2: Convert to fraction form
    200,358.93/300,469.19 = 58,165.64/x
  3. Step 3: Cross multiply
    200,358.93x = 300,469.19 × 58,165.64
  4. Step 4: Simplify right side
    200,358.93x = 17,476,980,943.46
  5. Step 5: Solve for x
    x = 17,476,980,943.46/200,358.93
  6. Step 6: Final answer
    x = 87,228.36

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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.