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Finding the Fourth Proportional to 206,267.83, 284,667.02 and 115,622.35

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Solution

The fourth proportional to 206,267.83, 284,667.02 and 115,622.35 is: 159,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,267.83 : 284,667.02 = 115,622.35 : x
  2. Step 2: Convert to fraction form
    206,267.83/284,667.02 = 115,622.35/x
  3. Step 3: Cross multiply
    206,267.83x = 284,667.02 × 115,622.35
  4. Step 4: Simplify right side
    206,267.83x = 32,913,869,819.90
  5. Step 5: Solve for x
    x = 32,913,869,819.90/206,267.83
  6. Step 6: Final answer
    x = 159,568.60

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