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Finding the Fourth Proportional to 204,421.60, 306,632.40 and 54,661.60

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Solution

The fourth proportional to 204,421.60, 306,632.40 and 54,661.60 is: 81,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,421.60 : 306,632.40 = 54,661.60 : x
  2. Step 2: Convert to fraction form
    204,421.60/306,632.40 = 54,661.60/x
  3. Step 3: Cross multiply
    204,421.60x = 306,632.40 × 54,661.60
  4. Step 4: Simplify right side
    204,421.60x = 16,761,017,595.84
  5. Step 5: Solve for x
    x = 16,761,017,595.84/204,421.60
  6. Step 6: Final answer
    x = 81,992.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.