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Finding the Fourth Proportional to 208,819.38, 287,952.92 and 123,920.04

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Solution

The fourth proportional to 208,819.38, 287,952.92 and 123,920.04 is: 170,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,819.38 : 287,952.92 = 123,920.04 : x
  2. Step 2: Convert to fraction form
    208,819.38/287,952.92 = 123,920.04/x
  3. Step 3: Cross multiply
    208,819.38x = 287,952.92 × 123,920.04
  4. Step 4: Simplify right side
    208,819.38x = 35,683,138,986.49
  5. Step 5: Solve for x
    x = 35,683,138,986.49/208,819.38
  6. Step 6: Final answer
    x = 170,880.40

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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.