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Finding the Fourth Proportional to 206,173.68, 284,493.12 and 121,259.76

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Solution

The fourth proportional to 206,173.68, 284,493.12 and 121,259.76 is: 167,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,173.68 : 284,493.12 = 121,259.76 : x
  2. Step 2: Convert to fraction form
    206,173.68/284,493.12 = 121,259.76/x
  3. Step 3: Cross multiply
    206,173.68x = 284,493.12 × 121,259.76
  4. Step 4: Simplify right side
    206,173.68x = 34,497,567,452.85
  5. Step 5: Solve for x
    x = 34,497,567,452.85/206,173.68
  6. Step 6: Final answer
    x = 167,322.85

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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.