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Finding the Fourth Proportional to 280,577.28, 387,180.96 and 159,748

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Solution

The fourth proportional to 280,577.28, 387,180.96 and 159,748 is: 220,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,577.28 : 387,180.96 = 159,748 : x
  2. Step 2: Convert to fraction form
    280,577.28/387,180.96 = 159,748/x
  3. Step 3: Cross multiply
    280,577.28x = 387,180.96 × 159,748
  4. Step 4: Simplify right side
    280,577.28x = 61,851,383,998.08
  5. Step 5: Solve for x
    x = 61,851,383,998.08/280,577.28
  6. Step 6: Final answer
    x = 220,443.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.