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Finding the Fourth Proportional to 206,598.60, 309,970.80 and 199,308.60

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Solution

The fourth proportional to 206,598.60, 309,970.80 and 199,308.60 is: 299,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.60 : 309,970.80 = 199,308.60 : x
  2. Step 2: Convert to fraction form
    206,598.60/309,970.80 = 199,308.60/x
  3. Step 3: Cross multiply
    206,598.60x = 309,970.80 × 199,308.60
  4. Step 4: Simplify right side
    206,598.60x = 61,779,846,188.88
  5. Step 5: Solve for x
    x = 61,779,846,188.88/206,598.60
  6. Step 6: Final answer
    x = 299,033.23

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1.5x scale

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.