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Finding the Fourth Proportional to 206,885.87, 285,484.83 and 116,234.72

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Solution

The fourth proportional to 206,885.87, 285,484.83 and 116,234.72 is: 160,393.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,885.87 : 285,484.83 = 116,234.72 : x
  2. Step 2: Convert to fraction form
    206,885.87/285,484.83 = 116,234.72/x
  3. Step 3: Cross multiply
    206,885.87x = 285,484.83 × 116,234.72
  4. Step 4: Simplify right side
    206,885.87x = 33,183,249,279.30
  5. Step 5: Solve for x
    x = 33,183,249,279.30/206,885.87
  6. Step 6: Final answer
    x = 160,393.99

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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.