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Finding the Fourth Proportional to 206,628.00, 309,905.70 and 56,832.17

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Solution

The fourth proportional to 206,628.00, 309,905.70 and 56,832.17 is: 85,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,628.00 : 309,905.70 = 56,832.17 : x
  2. Step 2: Convert to fraction form
    206,628.00/309,905.70 = 56,832.17/x
  3. Step 3: Cross multiply
    206,628.00x = 309,905.70 × 56,832.17
  4. Step 4: Simplify right side
    206,628.00x = 17,612,611,663.72
  5. Step 5: Solve for x
    x = 17,612,611,663.72/206,628.00
  6. Step 6: Final answer
    x = 85,238.26

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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.