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Finding the Fourth Proportional to 206,184.53, 309,265.55 and 56,414.01

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Solution

The fourth proportional to 206,184.53, 309,265.55 and 56,414.01 is: 84,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,184.53 : 309,265.55 = 56,414.01 : x
  2. Step 2: Convert to fraction form
    206,184.53/309,265.55 = 56,414.01/x
  3. Step 3: Cross multiply
    206,184.53x = 309,265.55 × 56,414.01
  4. Step 4: Simplify right side
    206,184.53x = 17,446,909,548.29
  5. Step 5: Solve for x
    x = 17,446,909,548.29/206,184.53
  6. Step 6: Final answer
    x = 84,617.94

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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.