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Finding the Fourth Proportional to 204,505.42, 306,789.09 and 64,250.86

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Solution

The fourth proportional to 204,505.42, 306,789.09 and 64,250.86 is: 96,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,505.42 : 306,789.09 = 64,250.86 : x
  2. Step 2: Convert to fraction form
    204,505.42/306,789.09 = 64,250.86/x
  3. Step 3: Cross multiply
    204,505.42x = 306,789.09 × 64,250.86
  4. Step 4: Simplify right side
    204,505.42x = 19,711,462,871.12
  5. Step 5: Solve for x
    x = 19,711,462,871.12/204,505.42
  6. Step 6: Final answer
    x = 96,386.02

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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.