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Finding the Fourth Proportional to 206,857.10, 310,285.65 and 73,741.70

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Solution

The fourth proportional to 206,857.10, 310,285.65 and 73,741.70 is: 110,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.10 : 310,285.65 = 73,741.70 : x
  2. Step 2: Convert to fraction form
    206,857.10/310,285.65 = 73,741.70/x
  3. Step 3: Cross multiply
    206,857.10x = 310,285.65 × 73,741.70
  4. Step 4: Simplify right side
    206,857.10x = 22,880,991,316.61
  5. Step 5: Solve for x
    x = 22,880,991,316.61/206,857.10
  6. Step 6: Final answer
    x = 110,612.55

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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.