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Finding the Fourth Proportional to 206,707.18, 285,258.90 and 116,082.76

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Solution

The fourth proportional to 206,707.18, 285,258.90 and 116,082.76 is: 160,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,707.18 : 285,258.90 = 116,082.76 : x
  2. Step 2: Convert to fraction form
    206,707.18/285,258.90 = 116,082.76/x
  3. Step 3: Cross multiply
    206,707.18x = 285,258.90 × 116,082.76
  4. Step 4: Simplify right side
    206,707.18x = 33,113,640,426.56
  5. Step 5: Solve for x
    x = 33,113,640,426.56/206,707.18
  6. Step 6: Final answer
    x = 160,195.89

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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.