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Finding the Fourth Proportional to 300,122.30, 414,204.51 and 172,822.70

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Solution

The fourth proportional to 300,122.30, 414,204.51 and 172,822.70 is: 238,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,122.30 : 414,204.51 = 172,822.70 : x
  2. Step 2: Convert to fraction form
    300,122.30/414,204.51 = 172,822.70/x
  3. Step 3: Cross multiply
    300,122.30x = 414,204.51 × 172,822.70
  4. Step 4: Simplify right side
    300,122.30x = 71,583,941,770.38
  5. Step 5: Solve for x
    x = 71,583,941,770.38/300,122.30
  6. Step 6: Final answer
    x = 238,515.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.