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Finding the Fourth Proportional to 206,647.16, 309,934.35 and 56,851.29

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Solution

The fourth proportional to 206,647.16, 309,934.35 and 56,851.29 is: 85,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,647.16 : 309,934.35 = 56,851.29 : x
  2. Step 2: Convert to fraction form
    206,647.16/309,934.35 = 56,851.29/x
  3. Step 3: Cross multiply
    206,647.16x = 309,934.35 × 56,851.29
  4. Step 4: Simplify right side
    206,647.16x = 17,620,167,612.81
  5. Step 5: Solve for x
    x = 17,620,167,612.81/206,647.16
  6. Step 6: Final answer
    x = 85,266.92

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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.