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Finding the Fourth Proportional to 206,064.86, 309,141.68 and 63,907.27

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Solution

The fourth proportional to 206,064.86, 309,141.68 and 63,907.27 is: 95,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064.86 : 309,141.68 = 63,907.27 : x
  2. Step 2: Convert to fraction form
    206,064.86/309,141.68 = 63,907.27/x
  3. Step 3: Cross multiply
    206,064.86x = 309,141.68 × 63,907.27
  4. Step 4: Simplify right side
    206,064.86x = 19,756,400,812.01
  5. Step 5: Solve for x
    x = 19,756,400,812.01/206,064.86
  6. Step 6: Final answer
    x = 95,874.67

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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.