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Finding the Fourth Proportional to 206,241.96, 309,372.18 and 56,478.94

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Solution

The fourth proportional to 206,241.96, 309,372.18 and 56,478.94 is: 84,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,241.96 : 309,372.18 = 56,478.94 : x
  2. Step 2: Convert to fraction form
    206,241.96/309,372.18 = 56,478.94/x
  3. Step 3: Cross multiply
    206,241.96x = 309,372.18 × 56,478.94
  4. Step 4: Simplify right side
    206,241.96x = 17,473,011,806.66
  5. Step 5: Solve for x
    x = 17,473,011,806.66/206,241.96
  6. Step 6: Final answer
    x = 84,720.93

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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.