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Finding the Fourth Proportional to 206,618.40, 309,898.17 and 66,358.80

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Solution

The fourth proportional to 206,618.40, 309,898.17 and 66,358.80 is: 99,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.40 : 309,898.17 = 66,358.80 : x
  2. Step 2: Convert to fraction form
    206,618.40/309,898.17 = 66,358.80/x
  3. Step 3: Cross multiply
    206,618.40x = 309,898.17 × 66,358.80
  4. Step 4: Simplify right side
    206,618.40x = 20,564,470,683.40
  5. Step 5: Solve for x
    x = 20,564,470,683.40/206,618.40
  6. Step 6: Final answer
    x = 99,528.75

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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.