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Finding the Fourth Proportional to 206,567.96, 284,990.67 and 134,989.47

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Solution

The fourth proportional to 206,567.96, 284,990.67 and 134,989.47 is: 186,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,567.96 : 284,990.67 = 134,989.47 : x
  2. Step 2: Convert to fraction form
    206,567.96/284,990.67 = 134,989.47/x
  3. Step 3: Cross multiply
    206,567.96x = 284,990.67 × 134,989.47
  4. Step 4: Simplify right side
    206,567.96x = 38,470,739,498.24
  5. Step 5: Solve for x
    x = 38,470,739,498.24/206,567.96
  6. Step 6: Final answer
    x = 186,237.69

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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.