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Finding the Fourth Proportional to 206,274.01, 309,411.30 and 56,515.60

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Solution

The fourth proportional to 206,274.01, 309,411.30 and 56,515.60 is: 84,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.01 : 309,411.30 = 56,515.60 : x
  2. Step 2: Convert to fraction form
    206,274.01/309,411.30 = 56,515.60/x
  3. Step 3: Cross multiply
    206,274.01x = 309,411.30 × 56,515.60
  4. Step 4: Simplify right side
    206,274.01x = 17,486,565,266.28
  5. Step 5: Solve for x
    x = 17,486,565,266.28/206,274.01
  6. Step 6: Final answer
    x = 84,773.48

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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.