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Finding the Fourth Proportional to 287,108.82, 396,206.32 and 159,784.38

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Solution

The fourth proportional to 287,108.82, 396,206.32 and 159,784.38 is: 220,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,108.82 : 396,206.32 = 159,784.38 : x
  2. Step 2: Convert to fraction form
    287,108.82/396,206.32 = 159,784.38/x
  3. Step 3: Cross multiply
    287,108.82x = 396,206.32 × 159,784.38
  4. Step 4: Simplify right side
    287,108.82x = 63,307,581,193.28
  5. Step 5: Solve for x
    x = 63,307,581,193.28/287,108.82
  6. Step 6: Final answer
    x = 220,500.30

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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.