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Finding the Fourth Proportional to 206,762.85, 310,152.17 and 64,621.22

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Solution

The fourth proportional to 206,762.85, 310,152.17 and 64,621.22 is: 96,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,762.85 : 310,152.17 = 64,621.22 : x
  2. Step 2: Convert to fraction form
    206,762.85/310,152.17 = 64,621.22/x
  3. Step 3: Cross multiply
    206,762.85x = 310,152.17 × 64,621.22
  4. Step 4: Simplify right side
    206,762.85x = 20,042,410,221.84
  5. Step 5: Solve for x
    x = 20,042,410,221.84/206,762.85
  6. Step 6: Final answer
    x = 96,934.29

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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.