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Finding the Fourth Proportional to 206,720.60, 310,080.90 and 198,847.40

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Solution

The fourth proportional to 206,720.60, 310,080.90 and 198,847.40 is: 298,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,720.60 : 310,080.90 = 198,847.40 : x
  2. Step 2: Convert to fraction form
    206,720.60/310,080.90 = 198,847.40/x
  3. Step 3: Cross multiply
    206,720.60x = 310,080.90 × 198,847.40
  4. Step 4: Simplify right side
    206,720.60x = 61,658,780,754.66
  5. Step 5: Solve for x
    x = 61,658,780,754.66/206,720.60
  6. Step 6: Final answer
    x = 298,271.10

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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.