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Finding the Fourth Proportional to 206,529.28, 309,801.50 and 56,781.30

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Solution

The fourth proportional to 206,529.28, 309,801.50 and 56,781.30 is: 85,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.28 : 309,801.50 = 56,781.30 : x
  2. Step 2: Convert to fraction form
    206,529.28/309,801.50 = 56,781.30/x
  3. Step 3: Cross multiply
    206,529.28x = 309,801.50 × 56,781.30
  4. Step 4: Simplify right side
    206,529.28x = 17,590,931,911.95
  5. Step 5: Solve for x
    x = 17,590,931,911.95/206,529.28
  6. Step 6: Final answer
    x = 85,174.03

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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.