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Finding the Fourth Proportional to 207,044.38, 285,731.38 and 116,428.87

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Solution

The fourth proportional to 207,044.38, 285,731.38 and 116,428.87 is: 160,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,044.38 : 285,731.38 = 116,428.87 : x
  2. Step 2: Convert to fraction form
    207,044.38/285,731.38 = 116,428.87/x
  3. Step 3: Cross multiply
    207,044.38x = 285,731.38 × 116,428.87
  4. Step 4: Simplify right side
    207,044.38x = 33,267,381,696.94
  5. Step 5: Solve for x
    x = 33,267,381,696.94/207,044.38
  6. Step 6: Final answer
    x = 160,677.54

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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.