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Finding the Fourth Proportional to 232,583.75, 348,876.91 and 82,829.87

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Solution

The fourth proportional to 232,583.75, 348,876.91 and 82,829.87 is: 124,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,583.75 : 348,876.91 = 82,829.87 : x
  2. Step 2: Convert to fraction form
    232,583.75/348,876.91 = 82,829.87/x
  3. Step 3: Cross multiply
    232,583.75x = 348,876.91 × 82,829.87
  4. Step 4: Simplify right side
    232,583.75x = 28,897,427,149.84
  5. Step 5: Solve for x
    x = 28,897,427,149.84/232,583.75
  6. Step 6: Final answer
    x = 124,245.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.