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Finding the Fourth Proportional to 208,593.34, 287,857.08 and 117,967.10

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Solution

The fourth proportional to 208,593.34, 287,857.08 and 117,967.10 is: 162,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,593.34 : 287,857.08 = 117,967.10 : x
  2. Step 2: Convert to fraction form
    208,593.34/287,857.08 = 117,967.10/x
  3. Step 3: Cross multiply
    208,593.34x = 287,857.08 × 117,967.10
  4. Step 4: Simplify right side
    208,593.34x = 33,957,664,942.07
  5. Step 5: Solve for x
    x = 33,957,664,942.07/208,593.34
  6. Step 6: Final answer
    x = 162,793.62

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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.