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Finding the Fourth Proportional to 206,811.30, 310,246.11 and 73,652.16

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Solution

The fourth proportional to 206,811.30, 310,246.11 and 73,652.16 is: 110,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.30 : 310,246.11 = 73,652.16 : x
  2. Step 2: Convert to fraction form
    206,811.30/310,246.11 = 73,652.16/x
  3. Step 3: Cross multiply
    206,811.30x = 310,246.11 × 73,652.16
  4. Step 4: Simplify right side
    206,811.30x = 22,850,296,133.10
  5. Step 5: Solve for x
    x = 22,850,296,133.10/206,811.30
  6. Step 6: Final answer
    x = 110,488.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.