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Finding the Fourth Proportional to 206,231.80, 308,948.67 and 116,000.40

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Solution

The fourth proportional to 206,231.80, 308,948.67 and 116,000.40 is: 173,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,231.80 : 308,948.67 = 116,000.40 : x
  2. Step 2: Convert to fraction form
    206,231.80/308,948.67 = 116,000.40/x
  3. Step 3: Cross multiply
    206,231.80x = 308,948.67 × 116,000.40
  4. Step 4: Simplify right side
    206,231.80x = 35,838,169,299.47
  5. Step 5: Solve for x
    x = 35,838,169,299.47/206,231.80
  6. Step 6: Final answer
    x = 173,776.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.