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Finding the Fourth Proportional to 208,411.38, 312,692.40 and 81,981.82

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Solution

The fourth proportional to 208,411.38, 312,692.40 and 81,981.82 is: 123,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.38 : 312,692.40 = 81,981.82 : x
  2. Step 2: Convert to fraction form
    208,411.38/312,692.40 = 81,981.82/x
  3. Step 3: Cross multiply
    208,411.38x = 312,692.40 × 81,981.82
  4. Step 4: Simplify right side
    208,411.38x = 25,635,092,443.03
  5. Step 5: Solve for x
    x = 25,635,092,443.03/208,411.38
  6. Step 6: Final answer
    x = 123,002.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.