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Finding the Fourth Proportional to 122,172.30, 183,459.98 and 82,446.50

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Solution

The fourth proportional to 122,172.30, 183,459.98 and 82,446.50 is: 123,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,172.30 : 183,459.98 = 82,446.50 : x
  2. Step 2: Convert to fraction form
    122,172.30/183,459.98 = 82,446.50/x
  3. Step 3: Cross multiply
    122,172.30x = 183,459.98 × 82,446.50
  4. Step 4: Simplify right side
    122,172.30x = 15,125,633,241.07
  5. Step 5: Solve for x
    x = 15,125,633,241.07/122,172.30
  6. Step 6: Final answer
    x = 123,805.75

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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.