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Finding the Fourth Proportional to 206,776.56, 285,356.61 and 116,132.70

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Solution

The fourth proportional to 206,776.56, 285,356.61 and 116,132.70 is: 160,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,776.56 : 285,356.61 = 116,132.70 : x
  2. Step 2: Convert to fraction form
    206,776.56/285,356.61 = 116,132.70/x
  3. Step 3: Cross multiply
    206,776.56x = 285,356.61 × 116,132.70
  4. Step 4: Simplify right side
    206,776.56x = 33,139,233,582.15
  5. Step 5: Solve for x
    x = 33,139,233,582.15/206,776.56
  6. Step 6: Final answer
    x = 160,265.91

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1.5x scale

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.