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Finding the Fourth Proportional to 206,722.06, 310,084.30 and 73,607.46

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Solution

The fourth proportional to 206,722.06, 310,084.30 and 73,607.46 is: 110,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.06 : 310,084.30 = 73,607.46 : x
  2. Step 2: Convert to fraction form
    206,722.06/310,084.30 = 73,607.46/x
  3. Step 3: Cross multiply
    206,722.06x = 310,084.30 × 73,607.46
  4. Step 4: Simplify right side
    206,722.06x = 22,824,517,708.88
  5. Step 5: Solve for x
    x = 22,824,517,708.88/206,722.06
  6. Step 6: Final answer
    x = 110,411.62

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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.