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Finding the Fourth Proportional to 206,719.92, 310,079.16 and 73,605.24

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Solution

The fourth proportional to 206,719.92, 310,079.16 and 73,605.24 is: 110,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,719.92 : 310,079.16 = 73,605.24 : x
  2. Step 2: Convert to fraction form
    206,719.92/310,079.16 = 73,605.24/x
  3. Step 3: Cross multiply
    206,719.92x = 310,079.16 × 73,605.24
  4. Step 4: Simplify right side
    206,719.92x = 22,823,450,990.80
  5. Step 5: Solve for x
    x = 22,823,450,990.80/206,719.92
  6. Step 6: Final answer
    x = 110,407.60

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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.