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Finding the Fourth Proportional to 206,752.47, 285,325.29 and 116,124.41

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Solution

The fourth proportional to 206,752.47, 285,325.29 and 116,124.41 is: 160,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.47 : 285,325.29 = 116,124.41 : x
  2. Step 2: Convert to fraction form
    206,752.47/285,325.29 = 116,124.41/x
  3. Step 3: Cross multiply
    206,752.47x = 285,325.29 × 116,124.41
  4. Step 4: Simplify right side
    206,752.47x = 33,133,229,532.70
  5. Step 5: Solve for x
    x = 33,133,229,532.70/206,752.47
  6. Step 6: Final answer
    x = 160,255.54

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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.