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Finding the Fourth Proportional to 206,771.30, 310,200.15 and 66,544.10

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Solution

The fourth proportional to 206,771.30, 310,200.15 and 66,544.10 is: 99,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,771.30 : 310,200.15 = 66,544.10 : x
  2. Step 2: Convert to fraction form
    206,771.30/310,200.15 = 66,544.10/x
  3. Step 3: Cross multiply
    206,771.30x = 310,200.15 × 66,544.10
  4. Step 4: Simplify right side
    206,771.30x = 20,641,989,801.62
  5. Step 5: Solve for x
    x = 20,641,989,801.62/206,771.30
  6. Step 6: Final answer
    x = 99,830.05

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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.