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Finding the Fourth Proportional to 206,403.28, 309,605.19 and 56,645.62

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Solution

The fourth proportional to 206,403.28, 309,605.19 and 56,645.62 is: 84,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,403.28 : 309,605.19 = 56,645.62 : x
  2. Step 2: Convert to fraction form
    206,403.28/309,605.19 = 56,645.62/x
  3. Step 3: Cross multiply
    206,403.28x = 309,605.19 × 56,645.62
  4. Step 4: Simplify right side
    206,403.28x = 17,537,777,942.77
  5. Step 5: Solve for x
    x = 17,537,777,942.77/206,403.28
  6. Step 6: Final answer
    x = 84,968.50

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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.