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Finding the Fourth Proportional to 206,097.89, 283,929.48 and 193,697.60

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Solution

The fourth proportional to 206,097.89, 283,929.48 and 193,697.60 is: 266,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097.89 : 283,929.48 = 193,697.60 : x
  2. Step 2: Convert to fraction form
    206,097.89/283,929.48 = 193,697.60/x
  3. Step 3: Cross multiply
    206,097.89x = 283,929.48 × 193,697.60
  4. Step 4: Simplify right side
    206,097.89x = 54,996,457,425.60
  5. Step 5: Solve for x
    x = 54,996,457,425.60/206,097.89
  6. Step 6: Final answer
    x = 266,846.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.