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Finding the Fourth Proportional to 164,092.14, 246,138.17 and 39,433.14

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Solution

The fourth proportional to 164,092.14, 246,138.17 and 39,433.14 is: 59,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,092.14 : 246,138.17 = 39,433.14 : x
  2. Step 2: Convert to fraction form
    164,092.14/246,138.17 = 39,433.14/x
  3. Step 3: Cross multiply
    164,092.14x = 246,138.17 × 39,433.14
  4. Step 4: Simplify right side
    164,092.14x = 9,706,000,916.95
  5. Step 5: Solve for x
    x = 9,706,000,916.95/164,092.14
  6. Step 6: Final answer
    x = 59,149.70

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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.