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Finding the Fourth Proportional to 232,693.47, 348,954 and 82,893.96

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Solution

The fourth proportional to 232,693.47, 348,954 and 82,893.96 is: 124,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,693.47 : 348,954 = 82,893.96 : x
  2. Step 2: Convert to fraction form
    232,693.47/348,954 = 82,893.96/x
  3. Step 3: Cross multiply
    232,693.47x = 348,954 × 82,893.96
  4. Step 4: Simplify right side
    232,693.47x = 28,926,178,917.84
  5. Step 5: Solve for x
    x = 28,926,178,917.84/232,693.47
  6. Step 6: Final answer
    x = 124,310.23

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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.