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Finding the Fourth Proportional to 275,629.50, 413,444.25 and 88,641

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Solution

The fourth proportional to 275,629.50, 413,444.25 and 88,641 is: 132,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,629.50 : 413,444.25 = 88,641 : x
  2. Step 2: Convert to fraction form
    275,629.50/413,444.25 = 88,641/x
  3. Step 3: Cross multiply
    275,629.50x = 413,444.25 × 88,641
  4. Step 4: Simplify right side
    275,629.50x = 36,648,111,764.25
  5. Step 5: Solve for x
    x = 36,648,111,764.25/275,629.50
  6. Step 6: Final answer
    x = 132,961.50

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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.