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Finding the Fourth Proportional to 206,373.43, 309,560.54 and 56,615.77

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Solution

The fourth proportional to 206,373.43, 309,560.54 and 56,615.77 is: 84,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,373.43 : 309,560.54 = 56,615.77 : x
  2. Step 2: Convert to fraction form
    206,373.43/309,560.54 = 56,615.77/x
  3. Step 3: Cross multiply
    206,373.43x = 309,560.54 × 56,615.77
  4. Step 4: Simplify right side
    206,373.43x = 17,526,008,333.72
  5. Step 5: Solve for x
    x = 17,526,008,333.72/206,373.43
  6. Step 6: Final answer
    x = 84,923.76

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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.