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Finding the Fourth Proportional to 206,284.28, 309,426.69 and 56,525.90

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Solution

The fourth proportional to 206,284.28, 309,426.69 and 56,525.90 is: 84,788.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,284.28 : 309,426.69 = 56,525.90 : x
  2. Step 2: Convert to fraction form
    206,284.28/309,426.69 = 56,525.90/x
  3. Step 3: Cross multiply
    206,284.28x = 309,426.69 × 56,525.90
  4. Step 4: Simplify right side
    206,284.28x = 17,490,622,136.27
  5. Step 5: Solve for x
    x = 17,490,622,136.27/206,284.28
  6. Step 6: Final answer
    x = 84,788.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.