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Finding the Fourth Proportional to 206,856.60, 310,321.35 and 73,814.10

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Solution

The fourth proportional to 206,856.60, 310,321.35 and 73,814.10 is: 110,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.60 : 310,321.35 = 73,814.10 : x
  2. Step 2: Convert to fraction form
    206,856.60/310,321.35 = 73,814.10/x
  3. Step 3: Cross multiply
    206,856.60x = 310,321.35 × 73,814.10
  4. Step 4: Simplify right side
    206,856.60x = 22,906,091,161.04
  5. Step 5: Solve for x
    x = 22,906,091,161.04/206,856.60
  6. Step 6: Final answer
    x = 110,734.16

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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.