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Finding the Fourth Proportional to 206,923.20, 285,532.74 and 116,264.76

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Solution

The fourth proportional to 206,923.20, 285,532.74 and 116,264.76 is: 160,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,923.20 : 285,532.74 = 116,264.76 : x
  2. Step 2: Convert to fraction form
    206,923.20/285,532.74 = 116,264.76/x
  3. Step 3: Cross multiply
    206,923.20x = 285,532.74 × 116,264.76
  4. Step 4: Simplify right side
    206,923.20x = 33,197,395,488.24
  5. Step 5: Solve for x
    x = 33,197,395,488.24/206,923.20
  6. Step 6: Final answer
    x = 160,433.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.