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Finding the Fourth Proportional to 204,562.48, 306,830.22 and 98,022.64

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Solution

The fourth proportional to 204,562.48, 306,830.22 and 98,022.64 is: 147,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,562.48 : 306,830.22 = 98,022.64 : x
  2. Step 2: Convert to fraction form
    204,562.48/306,830.22 = 98,022.64/x
  3. Step 3: Cross multiply
    204,562.48x = 306,830.22 × 98,022.64
  4. Step 4: Simplify right side
    204,562.48x = 30,076,308,196.18
  5. Step 5: Solve for x
    x = 30,076,308,196.18/204,562.48
  6. Step 6: Final answer
    x = 147,027.49

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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.