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Finding the Fourth Proportional to 204,595.20, 307,353.60 and 199,065.60

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Solution

The fourth proportional to 204,595.20, 307,353.60 and 199,065.60 is: 299,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,595.20 : 307,353.60 = 199,065.60 : x
  2. Step 2: Convert to fraction form
    204,595.20/307,353.60 = 199,065.60/x
  3. Step 3: Cross multiply
    204,595.20x = 307,353.60 × 199,065.60
  4. Step 4: Simplify right side
    204,595.20x = 61,183,528,796.16
  5. Step 5: Solve for x
    x = 61,183,528,796.16/204,595.20
  6. Step 6: Final answer
    x = 299,046.75

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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.