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Finding the Fourth Proportional to 204,489.60, 306,777.60 and 62,323.20

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Solution

The fourth proportional to 204,489.60, 306,777.60 and 62,323.20 is: 93,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489.60 : 306,777.60 = 62,323.20 : x
  2. Step 2: Convert to fraction form
    204,489.60/306,777.60 = 62,323.20/x
  3. Step 3: Cross multiply
    204,489.60x = 306,777.60 × 62,323.20
  4. Step 4: Simplify right side
    204,489.60x = 19,119,361,720.32
  5. Step 5: Solve for x
    x = 19,119,361,720.32/204,489.60
  6. Step 6: Final answer
    x = 93,497.97

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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.