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Finding the Fourth Proportional to 206,485.27, 285,030.70 and 146,370.11

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Solution

The fourth proportional to 206,485.27, 285,030.70 and 146,370.11 is: 202,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,485.27 : 285,030.70 = 146,370.11 : x
  2. Step 2: Convert to fraction form
    206,485.27/285,030.70 = 146,370.11/x
  3. Step 3: Cross multiply
    206,485.27x = 285,030.70 × 146,370.11
  4. Step 4: Simplify right side
    206,485.27x = 41,719,973,121.30
  5. Step 5: Solve for x
    x = 41,719,973,121.30/206,485.27
  6. Step 6: Final answer
    x = 202,048.18

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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.