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Finding the Fourth Proportional to 208,231.30, 287,358.84 and 112,738

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Solution

The fourth proportional to 208,231.30, 287,358.84 and 112,738 is: 155,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,231.30 : 287,358.84 = 112,738 : x
  2. Step 2: Convert to fraction form
    208,231.30/287,358.84 = 112,738/x
  3. Step 3: Cross multiply
    208,231.30x = 287,358.84 × 112,738
  4. Step 4: Simplify right side
    208,231.30x = 32,396,260,903.92
  5. Step 5: Solve for x
    x = 32,396,260,903.92/208,231.30
  6. Step 6: Final answer
    x = 155,578.25

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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.