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Finding the Fourth Proportional to 206,354.17, 284,748.98 and 115,713.96

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Solution

The fourth proportional to 206,354.17, 284,748.98 and 115,713.96 is: 159,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.17 : 284,748.98 = 115,713.96 : x
  2. Step 2: Convert to fraction form
    206,354.17/284,748.98 = 115,713.96/x
  3. Step 3: Cross multiply
    206,354.17x = 284,748.98 × 115,713.96
  4. Step 4: Simplify right side
    206,354.17x = 32,949,432,081.76
  5. Step 5: Solve for x
    x = 32,949,432,081.76/206,354.17
  6. Step 6: Final answer
    x = 159,674.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.