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Finding the Fourth Proportional to 206,487.16, 284,917.74 and 121,621.12

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Solution

The fourth proportional to 206,487.16, 284,917.74 and 121,621.12 is: 167,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,487.16 : 284,917.74 = 121,621.12 : x
  2. Step 2: Convert to fraction form
    206,487.16/284,917.74 = 121,621.12/x
  3. Step 3: Cross multiply
    206,487.16x = 284,917.74 × 121,621.12
  4. Step 4: Simplify right side
    206,487.16x = 34,652,014,646.67
  5. Step 5: Solve for x
    x = 34,652,014,646.67/206,487.16
  6. Step 6: Final answer
    x = 167,816.80

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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.