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Finding the Fourth Proportional to 206,434.80, 309,653.16 and 56,677.20

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Solution

The fourth proportional to 206,434.80, 309,653.16 and 56,677.20 is: 85,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,434.80 : 309,653.16 = 56,677.20 : x
  2. Step 2: Convert to fraction form
    206,434.80/309,653.16 = 56,677.20/x
  3. Step 3: Cross multiply
    206,434.80x = 309,653.16 × 56,677.20
  4. Step 4: Simplify right side
    206,434.80x = 17,550,274,079.95
  5. Step 5: Solve for x
    x = 17,550,274,079.95/206,434.80
  6. Step 6: Final answer
    x = 85,016.06

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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.