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Finding the Fourth Proportional to 206,707.42, 285,272.72 and 116,069.43

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Solution

The fourth proportional to 206,707.42, 285,272.72 and 116,069.43 is: 160,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,707.42 : 285,272.72 = 116,069.43 : x
  2. Step 2: Convert to fraction form
    206,707.42/285,272.72 = 116,069.43/x
  3. Step 3: Cross multiply
    206,707.42x = 285,272.72 × 116,069.43
  4. Step 4: Simplify right side
    206,707.42x = 33,111,442,004.95
  5. Step 5: Solve for x
    x = 33,111,442,004.95/206,707.42
  6. Step 6: Final answer
    x = 160,185.07

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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.