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Finding the Fourth Proportional to 200,584.12, 300,397.92 and 116,165.92

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Solution

The fourth proportional to 200,584.12, 300,397.92 and 116,165.92 is: 173,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,584.12 : 300,397.92 = 116,165.92 : x
  2. Step 2: Convert to fraction form
    200,584.12/300,397.92 = 116,165.92/x
  3. Step 3: Cross multiply
    200,584.12x = 300,397.92 × 116,165.92
  4. Step 4: Simplify right side
    200,584.12x = 34,896,000,742.89
  5. Step 5: Solve for x
    x = 34,896,000,742.89/200,584.12
  6. Step 6: Final answer
    x = 173,971.90

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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.