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Finding the Fourth Proportional to 292,513.34, 438,735.98 and 82,169.30

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Solution

The fourth proportional to 292,513.34, 438,735.98 and 82,169.30 is: 123,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513.34 : 438,735.98 = 82,169.30 : x
  2. Step 2: Convert to fraction form
    292,513.34/438,735.98 = 82,169.30/x
  3. Step 3: Cross multiply
    292,513.34x = 438,735.98 × 82,169.30
  4. Step 4: Simplify right side
    292,513.34x = 36,050,628,361.41
  5. Step 5: Solve for x
    x = 36,050,628,361.41/292,513.34
  6. Step 6: Final answer
    x = 123,244.39

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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.