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Finding the Fourth Proportional to 232,503.40, 348,755.10 and 82,912.60

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Solution

The fourth proportional to 232,503.40, 348,755.10 and 82,912.60 is: 124,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,503.40 : 348,755.10 = 82,912.60 : x
  2. Step 2: Convert to fraction form
    232,503.40/348,755.10 = 82,912.60/x
  3. Step 3: Cross multiply
    232,503.40x = 348,755.10 × 82,912.60
  4. Step 4: Simplify right side
    232,503.40x = 28,916,192,104.26
  5. Step 5: Solve for x
    x = 28,916,192,104.26/232,503.40
  6. Step 6: Final answer
    x = 124,368.90

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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.