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Finding the Fourth Proportional to 207,592.29, 286,418.09 and 116,916.54

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Solution

The fourth proportional to 207,592.29, 286,418.09 and 116,916.54 is: 161,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,592.29 : 286,418.09 = 116,916.54 : x
  2. Step 2: Convert to fraction form
    207,592.29/286,418.09 = 116,916.54/x
  3. Step 3: Cross multiply
    207,592.29x = 286,418.09 × 116,916.54
  4. Step 4: Simplify right side
    207,592.29x = 33,487,011,294.43
  5. Step 5: Solve for x
    x = 33,487,011,294.43/207,592.29
  6. Step 6: Final answer
    x = 161,311.44

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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.