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Finding the Fourth Proportional to 280,190.44, 386,647.05 and 159,361.12

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Solution

The fourth proportional to 280,190.44, 386,647.05 and 159,361.12 is: 219,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,190.44 : 386,647.05 = 159,361.12 : x
  2. Step 2: Convert to fraction form
    280,190.44/386,647.05 = 159,361.12/x
  3. Step 3: Cross multiply
    280,190.44x = 386,647.05 × 159,361.12
  4. Step 4: Simplify right side
    280,190.44x = 61,616,506,932.70
  5. Step 5: Solve for x
    x = 61,616,506,932.70/280,190.44
  6. Step 6: Final answer
    x = 219,909.38

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Why These Related Problems?

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